Atkin-Lehner |
2- 3- 5- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
129780q |
Isogeny class |
Conductor |
129780 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
133632 |
Modular degree for the optimal curve |
Δ |
32966196480 = 28 · 36 · 5 · 73 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -6 -5 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2232,39636] |
[a1,a2,a3,a4,a6] |
Generators |
[21:45:1] |
Generators of the group modulo torsion |
j |
6589292544/176645 |
j-invariant |
L |
5.0473638677883 |
L(r)(E,1)/r! |
Ω |
1.163364343633 |
Real period |
R |
2.1692963150077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998028264 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14420b1 |
Quadratic twists by: -3 |