Atkin-Lehner |
2- 3- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
12402k |
Isogeny class |
Conductor |
12402 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9728 |
Modular degree for the optimal curve |
Δ |
1157255424 = 28 · 38 · 13 · 53 |
Discriminant |
Eigenvalues |
2- 3- -2 4 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1211,-15829] |
[a1,a2,a3,a4,a6] |
j |
269210725993/1587456 |
j-invariant |
L |
3.2385884487626 |
L(r)(E,1)/r! |
Ω |
0.80964711219065 |
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 |
99216bo1 4134e1 |
Quadratic twists by: -4 -3 |