Atkin-Lehner |
2+ 3- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
116280r |
Isogeny class |
Conductor |
116280 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
36864000 |
Modular degree for the optimal curve |
Δ |
-3.2543378903326E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 6 4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,55612617,-223273173238] |
[a1,a2,a3,a4,a6] |
j |
101923942887135886749104/174379387985069284935 |
j-invariant |
L |
2.7621255211361 |
L(r)(E,1)/r! |
Ω |
0.034526566631196 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38760s1 |
Quadratic twists by: -3 |