Atkin-Lehner |
2- 3- 7- 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
99918be |
Isogeny class |
Conductor |
99918 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
96160229500608 = 26 · 36 · 7 · 136 · 61 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -1 13- 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-25034,1455945] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:1359:1] |
Generators of the group modulo torsion |
j |
2379965510436697/131907036352 |
j-invariant |
L |
13.854654581588 |
L(r)(E,1)/r! |
Ω |
0.59147292241295 |
Real period |
R |
0.65066633010581 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009662 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11102d1 |
Quadratic twists by: -3 |