Atkin-Lehner |
2- 3- 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
60876t |
Isogeny class |
Conductor |
60876 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
4792889232 = 24 · 311 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3- -2 2 0 3 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-561,3881] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:81:1] |
Generators of the group modulo torsion |
j |
1674035968/410913 |
j-invariant |
L |
6.0128628637936 |
L(r)(E,1)/r! |
Ω |
1.2860007295618 |
Real period |
R |
0.38963578619739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000058 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20292d1 |
Quadratic twists by: -3 |