Atkin-Lehner |
2- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
39104j |
Isogeny class |
Conductor |
39104 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
69888 |
Modular degree for the optimal curve |
Δ |
-20501757952 = -1 · 225 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 2 0 -4 4 13- -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15873,775073] |
[a1,a2,a3,a4,a6] |
j |
-1687284042625/78208 |
j-invariant |
L |
2.2863103995041 |
L(r)(E,1)/r! |
Ω |
1.1431551997697 |
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 |
39104e1 9776b1 |
Quadratic twists by: -4 8 |