Atkin-Lehner |
2- 3- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
115056y |
Isogeny class |
Conductor |
115056 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
72192 |
Modular degree for the optimal curve |
Δ |
-21024873216 = -1 · 28 · 37 · 17 · 472 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 -1 5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,456,5884] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:18:1] [6:-94:1] |
Generators of the group modulo torsion |
j |
56188928/112659 |
j-invariant |
L |
9.6365036141754 |
L(r)(E,1)/r! |
Ω |
0.83704394530828 |
Real period |
R |
0.71953387756814 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003709 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28764a1 38352v1 |
Quadratic twists by: -4 -3 |