Atkin-Lehner |
2- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
129200cn |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5091840 |
Modular degree for the optimal curve |
Δ |
-8467251200000000000 = -1 · 229 · 511 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3 5+ 4 3 -4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-775075,297625250] |
[a1,a2,a3,a4,a6] |
j |
-804590545599729/132300800000 |
j-invariant |
L |
8.0624248876518 |
L(r)(E,1)/r! |
Ω |
0.2239563077502 |
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 |
16150h1 25840t1 |
Quadratic twists by: -4 5 |