Atkin-Lehner |
2+ 3- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
98394u |
Isogeny class |
Conductor |
98394 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1483776 |
Modular degree for the optimal curve |
Δ |
-986282378974555392 = -1 · 28 · 3 · 2310 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 -6 -2 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,134090,43896008] |
[a1,a2,a3,a4,a6] |
Generators |
[-3647792070:142348247561:28372625] |
Generators of the group modulo torsion |
j |
6436343/23808 |
j-invariant |
L |
7.0167212658926 |
L(r)(E,1)/r! |
Ω |
0.19765224541789 |
Real period |
R |
17.750168363443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981929 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98394y1 |
Quadratic twists by: -23 |