Atkin-Lehner |
2+ 3- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
69678g |
Isogeny class |
Conductor |
69678 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
95616188464608 = 25 · 38 · 78 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 3 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-25146,1467220] |
[a1,a2,a3,a4,a6] |
Generators |
[233:2750:1] |
Generators of the group modulo torsion |
j |
418435297/22752 |
j-invariant |
L |
6.3324755917668 |
L(r)(E,1)/r! |
Ω |
0.59197905058325 |
Real period |
R |
1.7828546425917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997957 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23226t1 69678m1 |
Quadratic twists by: -3 -7 |