Atkin-Lehner |
2+ 3- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
75888n |
Isogeny class |
Conductor |
75888 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-4860893590113024 = -1 · 28 · 319 · 17 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 -5 -7 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9204,3337148] |
[a1,a2,a3,a4,a6] |
j |
462046886912/26046454851 |
j-invariant |
L |
1.3174229172398 |
L(r)(E,1)/r! |
Ω |
0.32935573531409 |
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 |
37944m1 25296b1 |
Quadratic twists by: -4 -3 |