Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
45600v |
Isogeny class |
Conductor |
45600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-820800000000 = -1 · 212 · 33 · 58 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -3 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2833,-73537] |
[a1,a2,a3,a4,a6] |
j |
-1572160/513 |
j-invariant |
L |
1.9310716644059 |
L(r)(E,1)/r! |
Ω |
0.32184527741691 |
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 |
45600i1 91200go1 45600ba1 |
Quadratic twists by: -4 8 5 |