Atkin-Lehner |
2- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
5200z |
Isogeny class |
Conductor |
5200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
211250000 = 24 · 57 · 132 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 -4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7033,-224688] |
[a1,a2,a3,a4,a6] |
Generators |
[16683012:305417125:46656] |
Generators of the group modulo torsion |
j |
153910165504/845 |
j-invariant |
L |
5.3595666256254 |
L(r)(E,1)/r! |
Ω |
0.52132601516927 |
Real period |
R |
10.280642955992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1300d1 20800cp1 46800dy1 1040d1 |
Quadratic twists by: -4 8 -3 5 |