Atkin-Lehner |
2- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
62846f |
Isogeny class |
Conductor |
62846 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
215424 |
Modular degree for the optimal curve |
Δ |
169699924949044 = 22 · 7 · 677 |
Discriminant |
Eigenvalues |
2- -1 1 7+ -2 7 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15805,431679] |
[a1,a2,a3,a4,a6] |
Generators |
[-5105:128182:125] |
Generators of the group modulo torsion |
j |
4826809/1876 |
j-invariant |
L |
7.7334629837077 |
L(r)(E,1)/r! |
Ω |
0.52127348152026 |
Real period |
R |
3.7089278745406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000298 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
938a1 |
Quadratic twists by: -67 |