Atkin-Lehner |
2- 3- 11- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
97812m |
Isogeny class |
Conductor |
97812 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
61353946368 = 28 · 36 · 113 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 3 11- 13+ 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1200,10676] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:99:1] |
Generators of the group modulo torsion |
j |
1024000000/328757 |
j-invariant |
L |
8.0653844156824 |
L(r)(E,1)/r! |
Ω |
1.0235848229933 |
Real period |
R |
1.3132577846656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999917092 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10868b1 |
Quadratic twists by: -3 |