Atkin-Lehner |
2+ 3- 5+ 31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
103230f |
Isogeny class |
Conductor |
103230 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
823364956694160 = 24 · 311 · 5 · 31 · 374 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-23490,-113724] |
[a1,a2,a3,a4,a6] |
j |
1966326507563041/1129444385040 |
j-invariant |
L |
0.8379588897543 |
L(r)(E,1)/r! |
Ω |
0.41897943268377 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34410o1 |
Quadratic twists by: -3 |