Atkin-Lehner |
2- 37+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
46768f |
Isogeny class |
Conductor |
46768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
28351135744 = 218 · 372 · 79 |
Discriminant |
Eigenvalues |
2- -1 -3 -3 0 -5 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-75192,-7911056] |
[a1,a2,a3,a4,a6] |
Generators |
[-158:2:1] |
Generators of the group modulo torsion |
j |
11478481794175033/6921664 |
j-invariant |
L |
1.7864724005893 |
L(r)(E,1)/r! |
Ω |
0.28830765912691 |
Real period |
R |
1.5491024466785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999481 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5846a1 |
Quadratic twists by: -4 |