Atkin-Lehner |
2- 3- 5+ 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
34710be |
Isogeny class |
Conductor |
34710 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
27840 |
Modular degree for the optimal curve |
Δ |
-2974056930 = -1 · 2 · 32 · 5 · 135 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -2 13- 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-871,-10309] |
[a1,a2,a3,a4,a6] |
j |
-73081817638129/2974056930 |
j-invariant |
L |
4.3835737122866 |
L(r)(E,1)/r! |
Ω |
0.43835737122899 |
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 |
104130y1 |
Quadratic twists by: -3 |