Atkin-Lehner |
2+ 5+ 17+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
85850b |
Isogeny class |
Conductor |
85850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
3207520832000000 = 212 · 56 · 173 · 1012 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 -2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-56425,4357125] |
[a1,a2,a3,a4,a6] |
Generators |
[-74817:11254923:4913] |
Generators of the group modulo torsion |
j |
1271541138628753/205281333248 |
j-invariant |
L |
7.6216924961647 |
L(r)(E,1)/r! |
Ω |
0.42844351293036 |
Real period |
R |
8.8946293554714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002127 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3434b1 |
Quadratic twists by: 5 |