Atkin-Lehner |
2+ 3- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
98394w |
Isogeny class |
Conductor |
98394 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2433024 |
Modular degree for the optimal curve |
Δ |
-1085583432171220992 = -1 · 212 · 34 · 237 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 -4 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3148355,2150495678] |
[a1,a2,a3,a4,a6] |
Generators |
[1023:256:1] |
Generators of the group modulo torsion |
j |
-23313505834116217/7333244928 |
j-invariant |
L |
5.986559521367 |
L(r)(E,1)/r! |
Ω |
0.27007278544955 |
Real period |
R |
2.7708083947561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999987333 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4278g1 |
Quadratic twists by: -23 |