Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270b |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
46181520 = 24 · 32 · 5 · 73 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-60133,-5700803] |
[a1,a2,a3,a4,a6] |
j |
24047703582479315929/46181520 |
j-invariant |
L |
1.2194960216558 |
L(r)(E,1)/r! |
Ω |
0.30487400543883 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810ec1 |
Quadratic twists by: -3 |