Atkin-Lehner |
2- 5+ 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
86900c |
Isogeny class |
Conductor |
86900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
456192 |
Modular degree for the optimal curve |
Δ |
820293636250000 = 24 · 57 · 113 · 793 |
Discriminant |
Eigenvalues |
2- -1 5+ 4 11+ -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-186658,31071437] |
[a1,a2,a3,a4,a6] |
Generators |
[1466:13825:8] |
Generators of the group modulo torsion |
j |
2876907209522944/3281174545 |
j-invariant |
L |
6.2836554603791 |
L(r)(E,1)/r! |
Ω |
0.50023547494412 |
Real period |
R |
2.093565856376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959145 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17380a1 |
Quadratic twists by: 5 |