Atkin-Lehner |
2- 3+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
104742bi |
Isogeny class |
Conductor |
104742 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
2280960 |
Modular degree for the optimal curve |
Δ |
-377440753667231232 = -1 · 29 · 39 · 11 · 237 |
Discriminant |
Eigenvalues |
2- 3+ 0 3 11- -1 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3557360,-2581776557] |
[a1,a2,a3,a4,a6] |
j |
-1708632808875/129536 |
j-invariant |
L |
3.9574742873858 |
L(r)(E,1)/r! |
Ω |
0.054964924883811 |
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 |
104742c1 4554t1 |
Quadratic twists by: -3 -23 |