Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
46800t |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-242611200 = -1 · 210 · 36 · 52 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 3 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,-790] |
[a1,a2,a3,a4,a6] |
j |
-2500/13 |
j-invariant |
L |
2.9235467226805 |
L(r)(E,1)/r! |
Ω |
0.73088668067793 |
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 |
23400bj1 5200c1 46800bs1 |
Quadratic twists by: -4 -3 5 |