Atkin-Lehner |
3+ 5- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
123975r |
Isogeny class |
Conductor |
123975 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
366080 |
Modular degree for the optimal curve |
Δ |
-16010208984375 = -1 · 33 · 59 · 192 · 292 |
Discriminant |
Eigenvalues |
-1 3+ 5- -2 6 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4195,160572] |
[a1,a2,a3,a4,a6] |
j |
154854153/303601 |
j-invariant |
L |
1.9237062482228 |
L(r)(E,1)/r! |
Ω |
0.48092684311171 |
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 |
123975l1 123975p1 |
Quadratic twists by: -3 5 |