Atkin-Lehner |
2- 3+ 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
72150by |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
54788906250000 = 24 · 36 · 510 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-748051213,-7875212835469] |
[a1,a2,a3,a4,a6] |
j |
2962768241099512908710145289/3506490000 |
j-invariant |
L |
3.6951042105618 |
L(r)(E,1)/r! |
Ω |
0.028868001673314 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430m3 |
Quadratic twists by: 5 |