Atkin-Lehner |
2- 3+ 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
96720co |
Isogeny class |
Conductor |
96720 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
3302400 |
Modular degree for the optimal curve |
Δ |
-9.057347243568E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -5 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,302555,1446448525] |
[a1,a2,a3,a4,a6] |
Generators |
[2740:151125:1] |
Generators of the group modulo torsion |
j |
747782559778770944/221126641688671875 |
j-invariant |
L |
4.7466804129698 |
L(r)(E,1)/r! |
Ω |
0.12203543806656 |
Real period |
R |
0.16206632584538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999917395 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6045k1 |
Quadratic twists by: -4 |