Atkin-Lehner |
2- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
61600bt |
Isogeny class |
Conductor |
61600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
14907200000000 = 212 · 58 · 7 · 113 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 11+ -1 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6333,-58037] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:308:1] |
Generators of the group modulo torsion |
j |
17559040/9317 |
j-invariant |
L |
4.0286548470375 |
L(r)(E,1)/r! |
Ω |
0.56834039651569 |
Real period |
R |
3.5442270792438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61600ba1 123200cz1 61600k1 |
Quadratic twists by: -4 8 5 |