Atkin-Lehner |
2+ 11- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
97526o |
Isogeny class |
Conductor |
97526 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
2109682432 = 28 · 112 · 133 · 31 |
Discriminant |
Eigenvalues |
2+ 0 0 -5 11- 13- 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-457,-2931] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:27:1] [-14:31:1] |
Generators of the group modulo torsion |
j |
87341648625/17435392 |
j-invariant |
L |
7.0416759120885 |
L(r)(E,1)/r! |
Ω |
1.046881331863 |
Real period |
R |
1.1210560512867 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995796 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97526t1 |
Quadratic twists by: -11 |