Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600dn |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
423360 |
Modular degree for the optimal curve |
Δ |
5.78509309952E+19 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 2 0 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2100875,-1113463750] |
[a1,a2,a3,a4,a6] |
j |
2268945/128 |
j-invariant |
L |
2.0134692595535 |
L(r)(E,1)/r! |
Ω |
0.12584182872209 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2450bd1 78400kb1 19600ca1 19600dd1 |
Quadratic twists by: -4 8 5 -7 |