Atkin-Lehner |
2+ 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
85696k |
Isogeny class |
Conductor |
85696 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
175505408 = 217 · 13 · 103 |
Discriminant |
Eigenvalues |
2+ 0 0 1 -3 13+ -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-140,-16] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:16:1] [13:19:1] |
Generators of the group modulo torsion |
j |
2315250/1339 |
j-invariant |
L |
10.600335099571 |
L(r)(E,1)/r! |
Ω |
1.5195638624585 |
Real period |
R |
1.7439765714 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000072 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85696bg1 10712a1 |
Quadratic twists by: -4 8 |