Atkin-Lehner |
3+ 5+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
65325b |
Isogeny class |
Conductor |
65325 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
233280 |
Modular degree for the optimal curve |
Δ |
167420830078125 = 39 · 510 · 13 · 67 |
Discriminant |
Eigenvalues |
0 3+ 5+ 1 6 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-49583,4220318] |
[a1,a2,a3,a4,a6] |
Generators |
[10520:99658:125] |
Generators of the group modulo torsion |
j |
1380482252800/17143893 |
j-invariant |
L |
4.6495399725995 |
L(r)(E,1)/r! |
Ω |
0.57516174968423 |
Real period |
R |
8.0838824475766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995908 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65325bb1 |
Quadratic twists by: 5 |