Atkin-Lehner |
2- 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
75810cx |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2419200 |
Modular degree for the optimal curve |
Δ |
-304221871926803250 = -1 · 2 · 34 · 53 · 75 · 197 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -1 -5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3156411,2158332435] |
[a1,a2,a3,a4,a6] |
j |
-73923540638379769/6466493250 |
j-invariant |
L |
2.3437705514745 |
L(r)(E,1)/r! |
Ω |
0.29297132244041 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3990b1 |
Quadratic twists by: -19 |