Atkin-Lehner |
2- 3- 11- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
97614bm |
Isogeny class |
Conductor |
97614 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
197237060811217152 = 28 · 39 · 115 · 172 · 292 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-838985,295224009] |
[a1,a2,a3,a4,a6] |
Generators |
[653:-5376:1] |
Generators of the group modulo torsion |
j |
89589742283924151625/270558382457088 |
j-invariant |
L |
9.9987520168034 |
L(r)(E,1)/r! |
Ω |
0.3191079677518 |
Real period |
R |
0.19583403258787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999918815 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32538b1 |
Quadratic twists by: -3 |