Atkin-Lehner |
2- 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800ek |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
784080000000 = 210 · 34 · 57 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13133,-573363] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:25:1] [-67:36:1] |
Generators of the group modulo torsion |
j |
15657723904/49005 |
j-invariant |
L |
7.8291736048133 |
L(r)(E,1)/r! |
Ω |
0.44605409353866 |
Real period |
R |
2.1940090109651 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800da1 13200z1 10560ci1 |
Quadratic twists by: -4 8 5 |