Atkin-Lehner |
2- 3+ 5+ 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
97110bn |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
513784926720 = 29 · 33 · 5 · 13 · 833 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 6 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2108,14591] |
[a1,a2,a3,a4,a6] |
j |
38351169104067/19029071360 |
j-invariant |
L |
4.9376961036422 |
L(r)(E,1)/r! |
Ω |
0.82294938077877 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
97110f2 |
Quadratic twists by: -3 |