Atkin-Lehner |
2+ 3- 5+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
71910j |
Isogeny class |
Conductor |
71910 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2246400 |
Modular degree for the optimal curve |
Δ |
2.0279310336E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 5 3 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1455975,-640191875] |
[a1,a2,a3,a4,a6] |
j |
468228781086824415601/27817984000000000 |
j-invariant |
L |
2.2071960487233 |
L(r)(E,1)/r! |
Ω |
0.13794975254314 |
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 |
7990f1 |
Quadratic twists by: -3 |