Atkin-Lehner |
2+ 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
71400bn |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
481363948800 = 28 · 37 · 52 · 7 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -5 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2793,-46917] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:102:1] |
Generators of the group modulo torsion |
j |
376627502080/75213117 |
j-invariant |
L |
6.139366970323 |
L(r)(E,1)/r! |
Ω |
0.66587564963779 |
Real period |
R |
0.1097617881895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001582 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71400dg1 |
Quadratic twists by: 5 |