Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040do |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
532224 |
Modular degree for the optimal curve |
Δ |
3704121463680000000 = 213 · 33 · 57 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11- 3 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-750240,-232598412] |
[a1,a2,a3,a4,a6] |
Generators |
[-444:-3630:1] |
Generators of the group modulo torsion |
j |
53189206081/4218750 |
j-invariant |
L |
6.6843842214647 |
L(r)(E,1)/r! |
Ω |
0.16303416255902 |
Real period |
R |
0.32539602492894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3630r1 116160fr1 87120er1 29040dm1 |
Quadratic twists by: -4 8 -3 -11 |