Atkin-Lehner |
2- 3- 5- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
94860n |
Isogeny class |
Conductor |
94860 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
Δ |
-103837461468750000 = -1 · 24 · 38 · 59 · 17 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -3 -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-99912,19700809] |
[a1,a2,a3,a4,a6] |
Generators |
[-202:5625:1] |
Generators of the group modulo torsion |
j |
-9456472391286784/8902388671875 |
j-invariant |
L |
6.0115289433078 |
L(r)(E,1)/r! |
Ω |
0.30602301558962 |
Real period |
R |
1.0913356605317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009803 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
31620j2 |
Quadratic twists by: -3 |