Atkin-Lehner |
2- 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
29900g |
Isogeny class |
Conductor |
29900 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
4269869500000000 = 28 · 59 · 135 · 23 |
Discriminant |
Eigenvalues |
2- 1 5+ -3 -4 13- -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-178508,-28918012] |
[a1,a2,a3,a4,a6] |
Generators |
[-253:338:1] [-232:250:1] |
Generators of the group modulo torsion |
j |
157267580823376/1067467375 |
j-invariant |
L |
8.7085283466294 |
L(r)(E,1)/r! |
Ω |
0.23236064024101 |
Real period |
R |
0.6246416732195 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119600bg1 5980d1 |
Quadratic twists by: -4 5 |