Atkin-Lehner |
2+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
86152a |
Isogeny class |
Conductor |
86152 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
590958282109184 = 28 · 1110 · 89 |
Discriminant |
Eigenvalues |
2+ 0 -2 4 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23111,678810] |
[a1,a2,a3,a4,a6] |
Generators |
[48818:179080:343] |
Generators of the group modulo torsion |
j |
3010120272/1303049 |
j-invariant |
L |
6.2441870052165 |
L(r)(E,1)/r! |
Ω |
0.46508981579354 |
Real period |
R |
6.7128829584846 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012822 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7832c1 |
Quadratic twists by: -11 |