Atkin-Lehner |
2- 3- 5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
58140u |
Isogeny class |
Conductor |
58140 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-13732435440 = -1 · 24 · 312 · 5 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 0 5 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8337,-293051] |
[a1,a2,a3,a4,a6] |
j |
-5494214435584/1177335 |
j-invariant |
L |
4.4965976655038 |
L(r)(E,1)/r! |
Ω |
0.24981098143307 |
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 |
19380j1 |
Quadratic twists by: -3 |