Atkin-Lehner |
2- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
23120bd |
Isogeny class |
Conductor |
23120 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-9469952000 = -1 · 218 · 53 · 172 |
Discriminant |
Eigenvalues |
2- 1 5- -1 0 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-640,-8012] |
[a1,a2,a3,a4,a6] |
Generators |
[36:130:1] |
Generators of the group modulo torsion |
j |
-24529249/8000 |
j-invariant |
L |
6.1036769136276 |
L(r)(E,1)/r! |
Ω |
0.46679161326063 |
Real period |
R |
2.1793011200409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2890p1 92480dd1 115600bn1 23120x1 |
Quadratic twists by: -4 8 5 17 |