Atkin-Lehner |
2- 5- 23- 71- |
Signs for the Atkin-Lehner involutions |
Class |
81650y |
Isogeny class |
Conductor |
81650 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
2448000 |
Modular degree for the optimal curve |
Δ |
5.19129681008E+19 |
Discriminant |
Eigenvalues |
2- -2 5- 1 3 3 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1540138,-649014108] |
[a1,a2,a3,a4,a6] |
Generators |
[-748:9574:1] |
Generators of the group modulo torsion |
j |
1034290663241409985/132897198338048 |
j-invariant |
L |
8.0539821545625 |
L(r)(E,1)/r! |
Ω |
0.13666874310898 |
Real period |
R |
0.16369633715919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000211 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81650c1 |
Quadratic twists by: 5 |