Atkin-Lehner |
3- 7- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
49959j |
Isogeny class |
Conductor |
49959 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
90112 |
Modular degree for the optimal curve |
Δ |
29993527473273 = 38 · 78 · 13 · 61 |
Discriminant |
Eigenvalues |
1 3- 2 7- -4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8541,153400] |
[a1,a2,a3,a4,a6] |
Generators |
[-506:5545:8] |
Generators of the group modulo torsion |
j |
94525928327377/41143384737 |
j-invariant |
L |
8.0357639507123 |
L(r)(E,1)/r! |
Ω |
0.5958935867054 |
Real period |
R |
1.6856541440392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16653g1 |
Quadratic twists by: -3 |