Atkin-Lehner |
2+ 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
32830h |
Isogeny class |
Conductor |
32830 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
519680 |
Modular degree for the optimal curve |
Δ |
33796145862500 = 22 · 55 · 79 · 67 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 0 -6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1496387,703930361] |
[a1,a2,a3,a4,a6] |
j |
9182767430342143/837500 |
j-invariant |
L |
2.5111785210421 |
L(r)(E,1)/r! |
Ω |
0.50223570420954 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32830d1 |
Quadratic twists by: -7 |