Atkin-Lehner |
2- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
6292h |
Isogeny class |
Conductor |
6292 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
9504 |
Modular degree for the optimal curve |
Δ |
7535143384912 = 24 · 118 · 133 |
Discriminant |
Eigenvalues |
2- 1 0 -4 11- 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8873,-296320] |
[a1,a2,a3,a4,a6] |
j |
22528000/2197 |
j-invariant |
L |
1.484956023055 |
L(r)(E,1)/r! |
Ω |
0.49498534101832 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
25168bn1 100672p1 56628w1 6292c1 |
Quadratic twists by: -4 8 -3 -11 |