Atkin-Lehner |
2- 5- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
62300q |
Isogeny class |
Conductor |
62300 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
73440 |
Modular degree for the optimal curve |
Δ |
3052700000000 = 28 · 58 · 73 · 89 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 2 3 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5375,-126250] |
[a1,a2,a3,a4,a6] |
j |
171735120/30527 |
j-invariant |
L |
2.257506346506 |
L(r)(E,1)/r! |
Ω |
0.56437658555492 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62300k1 |
Quadratic twists by: 5 |