Atkin-Lehner |
2+ 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
113600bs |
Isogeny class |
Conductor |
113600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-232652800000000 = -1 · 223 · 58 · 71 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 -4 1 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-136833,-19541537] |
[a1,a2,a3,a4,a6] |
Generators |
[129055:3833984:125] |
Generators of the group modulo torsion |
j |
-2766938305/2272 |
j-invariant |
L |
3.674092466919 |
L(r)(E,1)/r! |
Ω |
0.12410811997825 |
Real period |
R |
7.4009912972584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009271 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113600cu1 3550p1 113600bi1 |
Quadratic twists by: -4 8 5 |