Atkin-Lehner |
2- 3- 11+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
34782ba |
Isogeny class |
Conductor |
34782 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
14110961679936 = 26 · 38 · 112 · 172 · 312 |
Discriminant |
Eigenvalues |
2- 3- 2 4 11+ -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-40412,-3125040] |
[a1,a2,a3,a4,a6] |
j |
7298866441011690433/14110961679936 |
j-invariant |
L |
8.0822744483926 |
L(r)(E,1)/r! |
Ω |
0.33676143535015 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
104346be2 |
Quadratic twists by: -3 |