Atkin-Lehner |
2- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
59488n |
Isogeny class |
Conductor |
59488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
123648 |
Modular degree for the optimal curve |
Δ |
6317018703424 = 26 · 112 · 138 |
Discriminant |
Eigenvalues |
2- 0 -2 4 11+ 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8281,263640] |
[a1,a2,a3,a4,a6] |
j |
203297472/20449 |
j-invariant |
L |
0.73148697742438 |
L(r)(E,1)/r! |
Ω |
0.73148697385658 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
59488t1 118976cv2 4576d1 |
Quadratic twists by: -4 8 13 |