Atkin-Lehner |
2- 7- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
129584s |
Isogeny class |
Conductor |
129584 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
-791357387964416 = -1 · 230 · 72 · 132 · 89 |
Discriminant |
Eigenvalues |
2- 1 -3 7- 4 13- -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38032,-3172076] |
[a1,a2,a3,a4,a6] |
Generators |
[564:12454:1] |
Generators of the group modulo torsion |
j |
-1485329054790673/193202487296 |
j-invariant |
L |
6.1708636792889 |
L(r)(E,1)/r! |
Ω |
0.16970350018906 |
Real period |
R |
4.5453272637632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000178202 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16198i1 |
Quadratic twists by: -4 |