Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
72912cs |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
1605529239552 = 224 · 32 · 73 · 31 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 6 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3040,-22156] |
[a1,a2,a3,a4,a6] |
j |
2212245127/1142784 |
j-invariant |
L |
2.7201015931517 |
L(r)(E,1)/r! |
Ω |
0.68002539764792 |
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 |
9114w1 72912by1 |
Quadratic twists by: -4 -7 |