Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75504t |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
557568 |
Modular degree for the optimal curve |
Δ |
-3366470213812992 = -1 · 28 · 3 · 1110 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 4 -3 11- 13+ -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19521,-2988933] |
[a1,a2,a3,a4,a6] |
Generators |
[10456710332007730:4760711906837744013:50447927375] |
Generators of the group modulo torsion |
j |
-123904/507 |
j-invariant |
L |
10.083951963506 |
L(r)(E,1)/r! |
Ω |
0.18408564767409 |
Real period |
R |
27.389294306525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37752e1 75504y1 |
Quadratic twists by: -4 -11 |