Atkin-Lehner |
2+ 3- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
75888l |
Isogeny class |
Conductor |
75888 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-6146928 = -1 · 24 · 36 · 17 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 3 0 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,277] |
[a1,a2,a3,a4,a6] |
j |
-4000000/527 |
j-invariant |
L |
2.3133332026792 |
L(r)(E,1)/r! |
Ω |
2.3133332091425 |
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 |
37944l1 8432c1 |
Quadratic twists by: -4 -3 |