Atkin-Lehner |
2- 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
59472bm |
Isogeny class |
Conductor |
59472 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-5921881104384 = -1 · 213 · 36 · 75 · 59 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 6 -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2949,-99542] |
[a1,a2,a3,a4,a6] |
Generators |
[47:378:1] |
Generators of the group modulo torsion |
j |
949862087/1983226 |
j-invariant |
L |
8.8990901959741 |
L(r)(E,1)/r! |
Ω |
0.39401426070096 |
Real period |
R |
1.1292852928678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000201 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7434g1 6608d1 |
Quadratic twists by: -4 -3 |