Atkin-Lehner |
2- 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
95760di |
Isogeny class |
Conductor |
95760 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
720000 |
Modular degree for the optimal curve |
Δ |
-56615441702400000 = -1 · 212 · 36 · 55 · 75 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -3 -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30288,11626288] |
[a1,a2,a3,a4,a6] |
j |
-1029077364736/18960396875 |
j-invariant |
L |
0.59433712795443 |
L(r)(E,1)/r! |
Ω |
0.29716859742407 |
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 |
5985m1 10640y1 |
Quadratic twists by: -4 -3 |