Atkin-Lehner |
2- 3+ 5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
29370u |
Isogeny class |
Conductor |
29370 |
Conductor |
∏ cp |
77 |
Product of Tamagawa factors cp |
deg |
10810800 |
Modular degree for the optimal curve |
Δ |
-1.1060508795163E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- 5 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,33666429,-141230159007] |
[a1,a2,a3,a4,a6] |
j |
4220023514326527797232309071/11060508795162948000000000 |
j-invariant |
L |
2.8510395172961 |
L(r)(E,1)/r! |
Ω |
0.037026487237602 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88110bg1 |
Quadratic twists by: -3 |