Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
71400do |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
560 |
Product of Tamagawa factors cp |
deg |
7741440 |
Modular degree for the optimal curve |
Δ |
-3.4164627992775E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15844008,-37154800512] |
[a1,a2,a3,a4,a6] |
j |
-27491530342319084164/21352892495484375 |
j-invariant |
L |
5.1254008908818 |
L(r)(E,1)/r! |
Ω |
0.036610006249901 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280j1 |
Quadratic twists by: 5 |