Atkin-Lehner |
2- 3+ 5+ 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
29670s |
Isogeny class |
Conductor |
29670 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
9012262500 = 22 · 36 · 55 · 23 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 2 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-64406,-6318097] |
[a1,a2,a3,a4,a6] |
Generators |
[-103416735939392:51992431940573:704018907136] |
Generators of the group modulo torsion |
j |
29546300918712963169/9012262500 |
j-invariant |
L |
6.0480098230013 |
L(r)(E,1)/r! |
Ω |
0.29968702850718 |
Real period |
R |
20.181086425822 |
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 |
89010z1 |
Quadratic twists by: -3 |