Atkin-Lehner |
2- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
12992bg |
Isogeny class |
Conductor |
12992 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-10699470656 = -1 · 26 · 78 · 29 |
Discriminant |
Eigenvalues |
2- -3 1 7+ -1 7 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,533,1528] |
[a1,a2,a3,a4,a6] |
Generators |
[284:4802:1] |
Generators of the group modulo torsion |
j |
261652787136/167179229 |
j-invariant |
L |
2.8682740841397 |
L(r)(E,1)/r! |
Ω |
0.79814303473438 |
Real period |
R |
1.7968421443998 |
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 |
12992bn1 6496b1 116928dh1 90944el1 |
Quadratic twists by: -4 8 -3 -7 |