Atkin-Lehner |
2- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
13294i |
Isogeny class |
Conductor |
13294 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
1881367913938829312 = 214 · 177 · 234 |
Discriminant |
Eigenvalues |
2- 2 0 -4 2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-28655223,-59052916147] |
[a1,a2,a3,a4,a6] |
Generators |
[11019:975946:1] |
Generators of the group modulo torsion |
j |
107805659942195988625/77943554048 |
j-invariant |
L |
9.0897874837315 |
L(r)(E,1)/r! |
Ω |
0.06525272086273 |
Real period |
R |
4.9750456836743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106352k1 119646k1 782c1 |
Quadratic twists by: -4 -3 17 |