Atkin-Lehner |
2- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
29744bk |
Isogeny class |
Conductor |
29744 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-4216098258944 = -1 · 217 · 114 · 133 |
Discriminant |
Eigenvalues |
2- -3 -1 1 11- 13- 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3523,127426] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:286:1] [1:352:1] |
Generators of the group modulo torsion |
j |
-537367797/468512 |
j-invariant |
L |
5.4168044645683 |
L(r)(E,1)/r! |
Ω |
0.71255260626368 |
Real period |
R |
0.23756160321313 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3718e1 118976cu1 29744y1 |
Quadratic twists by: -4 8 13 |