Atkin-Lehner |
3- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
3135d |
Isogeny class |
Conductor |
3135 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-8520101184375 = -1 · 34 · 55 · 116 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 11- 6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2756,-151305] |
[a1,a2,a3,a4,a6] |
j |
-2315107706453569/8520101184375 |
j-invariant |
L |
1.8107532346734 |
L(r)(E,1)/r! |
Ω |
0.30179220577889 |
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 |
50160bc1 9405k1 15675n1 34485n1 |
Quadratic twists by: -4 -3 5 -11 |