Atkin-Lehner |
2+ 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450z |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
40734720 |
Modular degree for the optimal curve |
Δ |
3.7755661188802E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-849355542,9523200232116] |
[a1,a2,a3,a4,a6] |
j |
5949010462538271898545049/3314625947988102720 |
j-invariant |
L |
1.025518665562 |
L(r)(E,1)/r! |
Ω |
0.064094918079457 |
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 |
24150cj1 14490cc1 |
Quadratic twists by: -3 5 |