Atkin-Lehner |
3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
64575ba |
Isogeny class |
Conductor |
64575 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
1256563916015625 = 37 · 511 · 7 · 412 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-304542,64740991] |
[a1,a2,a3,a4,a6] |
Generators |
[234:2383:1] |
Generators of the group modulo torsion |
j |
274232262365209/110315625 |
j-invariant |
L |
6.7839254454401 |
L(r)(E,1)/r! |
Ω |
0.47631955714574 |
Real period |
R |
1.7802978439636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000657 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21525k1 12915p1 |
Quadratic twists by: -3 5 |