Atkin-Lehner |
2- 3- 5+ 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
29370bc |
Isogeny class |
Conductor |
29370 |
Conductor |
∏ cp |
23 |
Product of Tamagawa factors cp |
deg |
93840 |
Modular degree for the optimal curve |
Δ |
-3079667712000 = -1 · 223 · 3 · 53 · 11 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ 5 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7211,-250959] |
[a1,a2,a3,a4,a6] |
j |
-41468083367504689/3079667712000 |
j-invariant |
L |
5.9326407217191 |
L(r)(E,1)/r! |
Ω |
0.25794090094435 |
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 |
88110bn1 |
Quadratic twists by: -3 |