Atkin-Lehner |
3+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
105861b |
Isogeny class |
Conductor |
105861 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6257088 |
Modular degree for the optimal curve |
Δ |
8.8972567288572E+19 |
Discriminant |
Eigenvalues |
-2 3+ 3 7- -2 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2743984,-1688726832] |
[a1,a2,a3,a4,a6] |
Generators |
[-2308907065611:9177916995470:2809189531] |
Generators of the group modulo torsion |
j |
3538358272/137781 |
j-invariant |
L |
2.5037663651283 |
L(r)(E,1)/r! |
Ω |
0.11758306951256 |
Real period |
R |
21.293595885085 |
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 |
105861a1 |
Quadratic twists by: -71 |