Cremona's table of elliptic curves

3654 = 2 · 3² · 7 · 29

Field	Data	Notes
Atkin-Lehner	2+ 3+ 7- 29-	Signs for the Atkin-Lehner involutions
Class	3654d	Isogeny class
Conductor	3654	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	-100242842112 = -1 · 29 · 39 · 73 · 29	Discriminant
Eigenvalues	2+ 3+  0 7-  3 -1  0 -7	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,1038,7892]	[a1,a2,a3,a4,a6]
Generators	[1:94:1]	Generators of the group modulo torsion
j	6280426125/5092864	j-invariant
L	2.7733449883154	L(r)(E,1)/r!
Ω	0.68634312402235	Real period
R	0.6734593070742	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	29232s2 116928l2 3654p1 91350de2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3654d2

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	+	0	-	3	-1	0	-7	3	-	-4	-7	0	-4	3	-9	-9	2	-7	0	11	-4	3	12	5

---

Quadratic twists for elliptic curve 3654d2

-4	8	-3	5	-7	29
29232s2	116928l2	3654p1	91350de2	25578e2	105966bm2

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations