Atkin-Lehner |
2- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
71944a |
Isogeny class |
Conductor |
71944 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
557568 |
Modular degree for the optimal curve |
Δ |
-8328529906604912 = -1 · 24 · 172 · 239 |
Discriminant |
Eigenvalues |
2- 1 2 -4 0 -1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-647672,-200887123] |
[a1,a2,a3,a4,a6] |
Generators |
[154758:11595151:27] |
Generators of the group modulo torsion |
j |
-12685358647552/3516263 |
j-invariant |
L |
6.8598549459417 |
L(r)(E,1)/r! |
Ω |
0.084144067318809 |
Real period |
R |
5.0953198231667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3128b1 |
Quadratic twists by: -23 |