Atkin-Lehner |
2- 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
41300i |
Isogeny class |
Conductor |
41300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
14256 |
Modular degree for the optimal curve |
Δ |
2643200 = 28 · 52 · 7 · 59 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 4 -6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-133,-543] |
[a1,a2,a3,a4,a6] |
j |
40960000/413 |
j-invariant |
L |
4.2174559784661 |
L(r)(E,1)/r! |
Ω |
1.4058186594893 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41300l1 |
Quadratic twists by: 5 |