Atkin-Lehner |
7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15827b |
Isogeny class |
Conductor |
15827 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
639744 |
Modular degree for the optimal curve |
Δ |
7.5538885121514E+20 |
Discriminant |
Eigenvalues |
0 2 -3 7- -4 -3 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4720627,-3718104475] |
[a1,a2,a3,a4,a6] |
j |
98885957283487055872/6420699293790341 |
j-invariant |
L |
0.20568173810606 |
L(r)(E,1)/r! |
Ω |
0.10284086905303 |
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 |
2261b1 |
Quadratic twists by: -7 |