Atkin-Lehner |
2- 7+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
22204b |
Isogeny class |
Conductor |
22204 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-9212428005604096 = -1 · 28 · 7 · 135 · 614 |
Discriminant |
Eigenvalues |
2- -2 -3 7+ 0 13- -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-68437,-8318121] |
[a1,a2,a3,a4,a6] |
Generators |
[345:3042:1] [553:11102:1] |
Generators of the group modulo torsion |
j |
-138472324750901248/35986046896891 |
j-invariant |
L |
4.5955127062731 |
L(r)(E,1)/r! |
Ω |
0.1456043368514 |
Real period |
R |
0.52602745285012 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88816s1 |
Quadratic twists by: -4 |