Atkin-Lehner |
2- 3- 5+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17670t |
Isogeny class |
Conductor |
17670 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-53010 = -1 · 2 · 32 · 5 · 19 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 2 5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1,11] |
[a1,a2,a3,a4,a6] |
j |
-117649/53010 |
j-invariant |
L |
5.7534154529572 |
L(r)(E,1)/r! |
Ω |
2.8767077264786 |
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 |
53010w1 88350g1 |
Quadratic twists by: -3 5 |