Atkin-Lehner |
2- 5- 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
17420m |
Isogeny class |
Conductor |
17420 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-2541447350000 = -1 · 24 · 55 · 132 · 673 |
Discriminant |
Eigenvalues |
2- 3 5- -3 -6 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-937,-77491] |
[a1,a2,a3,a4,a6] |
j |
-5686204859136/158840459375 |
j-invariant |
L |
3.5274046580238 |
L(r)(E,1)/r! |
Ω |
0.35274046580238 |
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 |
69680bn1 87100h1 |
Quadratic twists by: -4 5 |