Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75504r |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
401279825232 = 24 · 32 · 118 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-571039,165901052] |
[a1,a2,a3,a4,a6] |
Generators |
[5452012:5370480:12167] |
Generators of the group modulo torsion |
j |
726516846671872/14157 |
j-invariant |
L |
6.6210321744245 |
L(r)(E,1)/r! |
Ω |
0.68166260422466 |
Real period |
R |
9.7130635224633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980405 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37752d1 6864h1 |
Quadratic twists by: -4 -11 |