Atkin-Lehner |
2+ 3- 79- |
Signs for the Atkin-Lehner involutions |
Class |
45504bb |
Isogeny class |
Conductor |
45504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
3864866586624 = 226 · 36 · 79 |
Discriminant |
Eigenvalues |
2+ 3- -3 -3 -2 5 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5004,-98064] |
[a1,a2,a3,a4,a6] |
Generators |
[94:512:1] |
Generators of the group modulo torsion |
j |
72511713/20224 |
j-invariant |
L |
3.2893679977087 |
L(r)(E,1)/r! |
Ω |
0.57959967069022 |
Real period |
R |
1.4188103289389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45504bp1 1422d1 5056k1 |
Quadratic twists by: -4 8 -3 |