Atkin-Lehner |
2+ 3- 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48450s |
Isogeny class |
Conductor |
48450 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-4156858593750 = -1 · 2 · 3 · 58 · 173 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 2 0 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3549,-54452] |
[a1,a2,a3,a4,a6] |
j |
12660695735/10641558 |
j-invariant |
L |
2.5850159326542 |
L(r)(E,1)/r! |
Ω |
0.43083598874193 |
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 |
48450x1 |
Quadratic twists by: 5 |