Atkin-Lehner |
2+ 5+ 37+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
112850c |
Isogeny class |
Conductor |
112850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2504148975184000000 = -1 · 210 · 56 · 376 · 61 |
Discriminant |
Eigenvalues |
2+ 2 5+ -5 -3 -5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-940681550,-11105225495500] |
[a1,a2,a3,a4,a6] |
j |
-5891577095829807995767096033/160265534411776 |
j-invariant |
L |
0.49069391498205 |
L(r)(E,1)/r! |
Ω |
0.013630409463509 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4514d2 |
Quadratic twists by: 5 |