Atkin-Lehner |
2- 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
61488bt |
Isogeny class |
Conductor |
61488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
326403883008 = 220 · 36 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -5 0 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1875,14866] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:202:1] |
Generators of the group modulo torsion |
j |
244140625/109312 |
j-invariant |
L |
5.9523308588625 |
L(r)(E,1)/r! |
Ω |
0.86587944801983 |
Real period |
R |
3.4371591060117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998705 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7686f1 6832k1 |
Quadratic twists by: -4 -3 |