Atkin-Lehner |
2- 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
32634bx |
Isogeny class |
Conductor |
32634 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
157248 |
Modular degree for the optimal curve |
Δ |
-77988163018752 = -1 · 213 · 37 · 76 · 37 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 1 3 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,652,-425001] |
[a1,a2,a3,a4,a6] |
j |
357911/909312 |
j-invariant |
L |
7.3688891351001 |
L(r)(E,1)/r! |
Ω |
0.28341881288835 |
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 |
10878h1 666e1 |
Quadratic twists by: -3 -7 |