Atkin-Lehner |
3- 5+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
55275k |
Isogeny class |
Conductor |
55275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
280071515625 = 3 · 56 · 113 · 672 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11+ -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2638,-45733] |
[a1,a2,a3,a4,a6] |
Generators |
[-879:2515:27] |
Generators of the group modulo torsion |
j |
129938649625/17924577 |
j-invariant |
L |
3.9525002039185 |
L(r)(E,1)/r! |
Ω |
0.67226019897091 |
Real period |
R |
5.8794202154573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000105 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2211a1 |
Quadratic twists by: 5 |