Atkin-Lehner |
2+ 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
24336x |
Isogeny class |
Conductor |
24336 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
811535868185254992 = 24 · 314 · 139 |
Discriminant |
Eigenvalues |
2+ 3- -4 -2 -2 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-540462,146660735] |
[a1,a2,a3,a4,a6] |
Generators |
[2071:88938:1] |
Generators of the group modulo torsion |
j |
141150208/6561 |
j-invariant |
L |
2.4383494145241 |
L(r)(E,1)/r! |
Ω |
0.27938140743161 |
Real period |
R |
4.3638362282947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12168k1 97344gq1 8112h1 24336w1 |
Quadratic twists by: -4 8 -3 13 |