Atkin-Lehner |
2- 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
59780f |
Isogeny class |
Conductor |
59780 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
944640 |
Modular degree for the optimal curve |
Δ |
4451592777692435200 = 28 · 52 · 77 · 615 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 3 -4 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-534116,-110588120] |
[a1,a2,a3,a4,a6] |
Generators |
[-562:3430:1] [-366:5978:1] |
Generators of the group modulo torsion |
j |
559503855489616/147804352675 |
j-invariant |
L |
7.6890543789836 |
L(r)(E,1)/r! |
Ω |
0.18007143704472 |
Real period |
R |
0.71166703847965 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8540g1 |
Quadratic twists by: -7 |