Atkin-Lehner |
2+ 3- 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
72150y |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
3043460160000000 = 212 · 32 · 57 · 134 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-91001,-10234852] |
[a1,a2,a3,a4,a6] |
j |
5333782719807361/194781450240 |
j-invariant |
L |
1.1019780959627 |
L(r)(E,1)/r! |
Ω |
0.27549452039056 |
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 |
14430bf1 |
Quadratic twists by: 5 |