Atkin-Lehner |
3- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
94815s |
Isogeny class |
Conductor |
94815 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17740800 |
Modular degree for the optimal curve |
Δ |
747119668815253125 = 39 · 55 · 710 · 43 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -6 4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-846971958,9487497209188] |
[a1,a2,a3,a4,a6] |
j |
326304361537850343424/3628125 |
j-invariant |
L |
0.57243343243474 |
L(r)(E,1)/r! |
Ω |
0.14310835452022 |
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 |
31605l1 94815ba1 |
Quadratic twists by: -3 -7 |