Atkin-Lehner |
2- 5+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
29450s |
Isogeny class |
Conductor |
29450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
-35949707031250 = -1 · 2 · 515 · 19 · 31 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 0 -5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,5437,-241469] |
[a1,a2,a3,a4,a6] |
j |
1137566234519/2300781250 |
j-invariant |
L |
6.1118274882822 |
L(r)(E,1)/r! |
Ω |
0.33954597157122 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5890d1 |
Quadratic twists by: 5 |