Atkin-Lehner |
2- 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
32634bn |
Isogeny class |
Conductor |
32634 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
26400 |
Modular degree for the optimal curve |
Δ |
-3761003232 = -1 · 25 · 33 · 76 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -5 3 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1259,-17125] |
[a1,a2,a3,a4,a6] |
j |
-69426531/1184 |
j-invariant |
L |
4.0035975296365 |
L(r)(E,1)/r! |
Ω |
0.40035975296367 |
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 |
32634f1 666d1 |
Quadratic twists by: -3 -7 |