Cremona's table of elliptic curves

3472 = 2⁴ · 7 · 31

Field	Data	Notes
Atkin-Lehner	2- 7- 31-	Signs for the Atkin-Lehner involutions
Class	3472f	Isogeny class
Conductor	3472	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	1543012352 = 215 · 72 · 312	Discriminant
Eigenvalues	2-  0  0 7-  2 -2  2  6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-755,-7758]	[a1,a2,a3,a4,a6]
j	11619959625/376712	j-invariant
L	1.8251790591632	L(r)(E,1)/r!
Ω	0.91258952958158	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	434a2 13888t2 31248cg2 86800bb2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3472f2

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	0	-	2	-2	2	6	0	8	-	-8	-10	6	4	4	-6	6	4	8	14	16	-8	-6	14

---

Quadratic twists for elliptic curve 3472f2

-4	8	-3	5	-7	-31
434a2	13888t2	31248cg2	86800bb2	24304l2	107632k2

---

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