Atkin-Lehner |
2- 3- 5- 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
122130by |
Isogeny class |
Conductor |
122130 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
540672 |
Modular degree for the optimal curve |
Δ |
231095832019200 = 28 · 37 · 52 · 234 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26222,-1454979] |
[a1,a2,a3,a4,a6] |
Generators |
[-109:369:1] |
Generators of the group modulo torsion |
j |
2735130772977049/317003884800 |
j-invariant |
L |
12.168668029436 |
L(r)(E,1)/r! |
Ω |
0.37801083354972 |
Real period |
R |
2.0119575438896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047432 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40710b1 |
Quadratic twists by: -3 |