Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550fq |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
264396833064000 = 26 · 32 · 53 · 710 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-32611,-2130082] |
[a1,a2,a3,a4,a6] |
Generators |
[-108:421:1] |
Generators of the group modulo torsion |
j |
260794641869/17978688 |
j-invariant |
L |
5.7035637789151 |
L(r)(E,1)/r! |
Ω |
0.35681282553176 |
Real period |
R |
1.9980937332002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024461 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95550hv1 13650t1 |
Quadratic twists by: 5 -7 |