Atkin-Lehner |
2- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
89930w |
Isogeny class |
Conductor |
89930 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
2323200 |
Modular degree for the optimal curve |
Δ |
-4.9503900105739E+19 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 2 1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,703559,-250936455] |
[a1,a2,a3,a4,a6] |
Generators |
[320:2485:1] |
Generators of the group modulo torsion |
j |
260170604658719/334404720640 |
j-invariant |
L |
7.4191730690989 |
L(r)(E,1)/r! |
Ω |
0.1071941517874 |
Real period |
R |
3.1460218117247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996798 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3910q1 |
Quadratic twists by: -23 |