Atkin-Lehner |
2- 3- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
45936bq |
Isogeny class |
Conductor |
45936 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-6007026522802618368 = -1 · 230 · 313 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3- -4 0 11+ 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-80067,-118242110] |
[a1,a2,a3,a4,a6] |
Generators |
[578:5346:1] [743:15246:1] |
Generators of the group modulo torsion |
j |
-19010647320769/2011741028352 |
j-invariant |
L |
7.5884666836794 |
L(r)(E,1)/r! |
Ω |
0.10592647809777 |
Real period |
R |
8.9548746686766 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5742o1 15312w1 |
Quadratic twists by: -4 -3 |