Atkin-Lehner |
2- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
75020a |
Isogeny class |
Conductor |
75020 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-70295540480 = -1 · 28 · 5 · 116 · 31 |
Discriminant |
Eigenvalues |
2- 1 5+ 4 11- -2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12261,-526825] |
[a1,a2,a3,a4,a6] |
j |
-449511424/155 |
j-invariant |
L |
4.0831812198327 |
L(r)(E,1)/r! |
Ω |
0.22684340156388 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
620a1 |
Quadratic twists by: -11 |