Atkin-Lehner |
2- 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
109120bm |
Isogeny class |
Conductor |
109120 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
3096576 |
Modular degree for the optimal curve |
Δ |
4.11997769282E+20 |
Discriminant |
Eigenvalues |
2- 2 5- 0 11+ 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1999005,-478624003] |
[a1,a2,a3,a4,a6] |
j |
862711553000150800384/402341571564453125 |
j-invariant |
L |
2.3907266687731 |
L(r)(E,1)/r! |
Ω |
0.13281819329088 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109120o1 27280e1 |
Quadratic twists by: -4 8 |