Atkin-Lehner |
3- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
86031d |
Isogeny class |
Conductor |
86031 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
439296 |
Modular degree for the optimal curve |
Δ |
4481286660588573 = 37 · 1110 · 79 |
Discriminant |
Eigenvalues |
-1 3- 0 2 11- 5 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-68630,6142128] |
[a1,a2,a3,a4,a6] |
Generators |
[908:25848:1] |
Generators of the group modulo torsion |
j |
1890625/237 |
j-invariant |
L |
4.8418554198778 |
L(r)(E,1)/r! |
Ω |
0.42043038806325 |
Real period |
R |
5.7582129559097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009645 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28677a1 86031f1 |
Quadratic twists by: -3 -11 |