Atkin-Lehner |
2- 7+ 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
85162u |
Isogeny class |
Conductor |
85162 |
Conductor |
∏ cp |
105 |
Product of Tamagawa factors cp |
deg |
21767760 |
Modular degree for the optimal curve |
Δ |
2.9081053975576E+20 |
Discriminant |
Eigenvalues |
2- 1 -4 7+ 11- 2 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-332283015,-2331392841079] |
[a1,a2,a3,a4,a6] |
j |
703823590650325393984561/50445893926912 |
j-invariant |
L |
3.7128876999387 |
L(r)(E,1)/r! |
Ω |
0.035360835746945 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85162bd1 |
Quadratic twists by: -7 |