Atkin-Lehner |
2- 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
39100m |
Isogeny class |
Conductor |
39100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
192098300000000 = 28 · 58 · 174 · 23 |
Discriminant |
Eigenvalues |
2- 2 5- 1 -5 5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16708,501912] |
[a1,a2,a3,a4,a6] |
j |
5158496080/1920983 |
j-invariant |
L |
3.1064548201283 |
L(r)(E,1)/r! |
Ω |
0.51774247002253 |
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 |
39100f1 |
Quadratic twists by: 5 |