Atkin-Lehner |
3+ 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
30975c |
Isogeny class |
Conductor |
30975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
42020430908203125 = 35 · 513 · 74 · 59 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 1 3 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-429633,108085043] |
[a1,a2,a3,a4,a6] |
j |
561303296768475136/2689307578125 |
j-invariant |
L |
1.4541017035891 |
L(r)(E,1)/r! |
Ω |
0.36352542589755 |
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 |
92925f1 6195j1 |
Quadratic twists by: -3 5 |