Cremona's table of elliptic curves

1274 = 2 · 7² · 13

Field	Data	Notes
Atkin-Lehner	2- 7- 13-	Signs for the Atkin-Lehner involutions
Class	1274m	Isogeny class
Conductor	1274	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	9220314956216 = 23 · 79 · 134	Discriminant
Eigenvalues	2-  2  2 7-  4 13- -4  2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-13427,575161]	[a1,a2,a3,a4,a6]
j	6634074439/228488	j-invariant
L	4.3503009296046	L(r)(E,1)/r!
Ω	0.7250501549341	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	10192bk2 40768y2 11466bb2 31850n2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1274m2

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
-	2	2	-	4	-	-4	2	-8	-6	4	-2	0	-4	12	-2	2	10	4	-8	-4	4	-14	12	-8

---

Quadratic twists for elliptic curve 1274m2

-4	8	-3	5	-7	13
10192bk2	40768y2	11466bb2	31850n2	1274j2	16562o2

---

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