Atkin-Lehner |
2- 3+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
11682n |
Isogeny class |
Conductor |
11682 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
8993083968 = 26 · 39 · 112 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11+ -4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3944,-94229] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:19:1] |
Generators of the group modulo torsion |
j |
344619542331/456896 |
j-invariant |
L |
7.6609762790924 |
L(r)(E,1)/r! |
Ω |
0.60250202020068 |
Real period |
R |
2.1192117819347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93456w1 11682a1 128502g1 |
Quadratic twists by: -4 -3 -11 |