Atkin-Lehner |
2- 3- 11- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
36894be |
Isogeny class |
Conductor |
36894 |
Conductor |
∏ cp |
342 |
Product of Tamagawa factors cp |
deg |
229824 |
Modular degree for the optimal curve |
Δ |
-698004766457856 = -1 · 219 · 39 · 112 · 13 · 43 |
Discriminant |
Eigenvalues |
2- 3- -3 -4 11- 13+ -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,8943,1229481] |
[a1,a2,a3,a4,a6] |
Generators |
[330:6171:1] |
Generators of the group modulo torsion |
j |
79098886387694447/698004766457856 |
j-invariant |
L |
6.8333517398691 |
L(r)(E,1)/r! |
Ω |
0.3725989224089 |
Real period |
R |
0.053624848171087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110682n1 |
Quadratic twists by: -3 |