Atkin-Lehner |
2+ 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
62530c |
Isogeny class |
Conductor |
62530 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
287232 |
Modular degree for the optimal curve |
Δ |
63075893903360 = 222 · 5 · 133 · 372 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10728,187712] |
[a1,a2,a3,a4,a6] |
j |
62160314319397/28710010880 |
j-invariant |
L |
1.1128321260053 |
L(r)(E,1)/r! |
Ω |
0.55641606327459 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62530x1 |
Quadratic twists by: 13 |