Atkin-Lehner |
2- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
120224h |
Isogeny class |
Conductor |
120224 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-160659659264 = -1 · 29 · 13 · 176 |
Discriminant |
Eigenvalues |
2- 1 -1 3 2 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-96,19256] |
[a1,a2,a3,a4,a6] |
Generators |
[750:5318:27] |
Generators of the group modulo torsion |
j |
-8/13 |
j-invariant |
L |
8.9771705216331 |
L(r)(E,1)/r! |
Ω |
0.82346411599967 |
Real period |
R |
5.4508571602473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999730717 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120224a1 416b1 |
Quadratic twists by: -4 17 |