Atkin-Lehner |
2- 3- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
90576cb |
Isogeny class |
Conductor |
90576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-1081833947136 = -1 · 218 · 38 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 -3 4 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-227739,-41831606] |
[a1,a2,a3,a4,a6] |
Generators |
[842:19062:1] |
Generators of the group modulo torsion |
j |
-437470189073497/362304 |
j-invariant |
L |
4.6951709872728 |
L(r)(E,1)/r! |
Ω |
0.10927232534994 |
Real period |
R |
5.3709516357614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999800204 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11322z1 30192bc1 |
Quadratic twists by: -4 -3 |