Cremona's table of elliptic curves

8450 = 2 · 5² · 13²

Field	Data	Notes
Atkin-Lehner	2+ 5+ 13-	Signs for the Atkin-Lehner involutions
Class	8450h	Isogeny class
Conductor	8450	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-1124864000000 = -1 · 215 · 56 · 133	Discriminant
Eigenvalues	2+  1 5+  3  0 13-  3 -6	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-8051,281998]	[a1,a2,a3,a4,a6]
j	-1680914269/32768	j-invariant
L	1.740245878451	L(r)(E,1)/r!
Ω	0.8701229392255	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	67600cr2 76050fk2 338e2 8450v2	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 8450h2

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
+	1	+	3	0	-	3	-6	-6	0	0	3	0	-1	3	6	6	-8	12	15	6	10	-6	6	12

---

Quadratic twists for elliptic curve 8450h2

-4	-3	5	13
67600cr2	76050fk2	338e2	8450v2

---

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