Atkin-Lehner |
2- 3- 7- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
59598bd |
Isogeny class |
Conductor |
59598 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29568 |
Modular degree for the optimal curve |
Δ |
-67584132 = -1 · 22 · 36 · 72 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- -6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-389,-2879] |
[a1,a2,a3,a4,a6] |
Generators |
[1652:3083:64] |
Generators of the group modulo torsion |
j |
-8908363017/92708 |
j-invariant |
L |
11.626002601232 |
L(r)(E,1)/r! |
Ω |
0.537279173188 |
Real period |
R |
5.4096655804756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6622e1 |
Quadratic twists by: -3 |