Atkin-Lehner |
2- 3+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
24024x |
Isogeny class |
Conductor |
24024 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
-7162611456 = -1 · 28 · 3 · 72 · 114 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11- 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,476,-956] |
[a1,a2,a3,a4,a6] |
Generators |
[66:560:1] |
Generators of the group modulo torsion |
j |
46493463728/27978951 |
j-invariant |
L |
4.1386086747132 |
L(r)(E,1)/r! |
Ω |
0.77123895418358 |
Real period |
R |
2.6830910525612 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48048q1 72072p1 |
Quadratic twists by: -4 -3 |