Atkin-Lehner |
2- 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
75020c |
Isogeny class |
Conductor |
75020 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-70295540480 = -1 · 28 · 5 · 116 · 31 |
Discriminant |
Eigenvalues |
2- -3 5- 2 11- -2 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,968,-5324] |
[a1,a2,a3,a4,a6] |
j |
221184/155 |
j-invariant |
L |
1.2367916587747 |
L(r)(E,1)/r! |
Ω |
0.61839584259851 |
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 |
620c1 |
Quadratic twists by: -11 |