Atkin-Lehner |
2- 3- 7- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
59598bc |
Isogeny class |
Conductor |
59598 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
499200 |
Modular degree for the optimal curve |
Δ |
3022778933010144 = 25 · 311 · 7 · 116 · 43 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- -5 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-254237,49333317] |
[a1,a2,a3,a4,a6] |
Generators |
[-235:9918:1] |
Generators of the group modulo torsion |
j |
2492934385738430089/4146473159136 |
j-invariant |
L |
11.22138588694 |
L(r)(E,1)/r! |
Ω |
0.45028125971889 |
Real period |
R |
0.20767364184228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998586 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19866c1 |
Quadratic twists by: -3 |