Atkin-Lehner |
2- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
23120bf |
Isogeny class |
Conductor |
23120 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-50309120000000 = -1 · 217 · 57 · 173 |
Discriminant |
Eigenvalues |
2- -1 5- 0 6 -5 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7520,-233728] |
[a1,a2,a3,a4,a6] |
Generators |
[74:850:1] |
Generators of the group modulo torsion |
j |
2336752783/2500000 |
j-invariant |
L |
4.7579863697415 |
L(r)(E,1)/r! |
Ω |
0.34284080136047 |
Real period |
R |
0.49564720406472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2890o1 92480da1 115600bh1 23120p1 |
Quadratic twists by: -4 8 5 17 |