Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232dd |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-1178314711428096 = -1 · 210 · 310 · 117 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11- 6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-37429,3252229] |
[a1,a2,a3,a4,a6] |
Generators |
[477:9680:1] |
Generators of the group modulo torsion |
j |
-3196715008/649539 |
j-invariant |
L |
4.7539068646864 |
L(r)(E,1)/r! |
Ω |
0.46667258227969 |
Real period |
R |
2.546703537555 |
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 |
23232ce1 5808be1 69696gi1 2112t1 |
Quadratic twists by: -4 8 -3 -11 |