Atkin-Lehner |
2- 5+ 29- 41- |
Signs for the Atkin-Lehner involutions |
Class |
59450r |
Isogeny class |
Conductor |
59450 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
380480000000 = 212 · 57 · 29 · 41 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 0 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2563,-40383] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:69:1] [-34:105:1] |
Generators of the group modulo torsion |
j |
119168121961/24350720 |
j-invariant |
L |
9.6168934397321 |
L(r)(E,1)/r! |
Ω |
0.68061327565918 |
Real period |
R |
1.1774789227692 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999846 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11890c1 |
Quadratic twists by: 5 |