Atkin-Lehner |
2- 3+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
65472bx |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
1169068032 = 212 · 33 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 11- 2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-313,1465] |
[a1,a2,a3,a4,a6] |
j |
830584000/285417 |
j-invariant |
L |
2.8342457602846 |
L(r)(E,1)/r! |
Ω |
1.4171228753884 |
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 |
65472cc1 32736d1 |
Quadratic twists by: -4 8 |