Atkin-Lehner |
2+ 3+ 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
93840d |
Isogeny class |
Conductor |
93840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
5472748800 = 28 · 37 · 52 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 2 -3 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-441,405] |
[a1,a2,a3,a4,a6] |
j |
37135043584/21377925 |
j-invariant |
L |
2.3109766964724 |
L(r)(E,1)/r! |
Ω |
1.1554883216595 |
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 |
46920j1 |
Quadratic twists by: -4 |