Atkin-Lehner |
2+ 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
46800i |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-7020000000 = -1 · 28 · 33 · 57 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 5 13- -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300,-4500] |
[a1,a2,a3,a4,a6] |
j |
-27648/65 |
j-invariant |
L |
4.2846266604956 |
L(r)(E,1)/r! |
Ω |
0.53557833258762 |
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 |
23400e1 46800j1 9360f1 |
Quadratic twists by: -4 -3 5 |