Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
5808v |
Isogeny class |
Conductor |
5808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
19861633983578112 = 222 · 35 · 117 |
Discriminant |
Eigenvalues |
2- 3+ -4 -2 11- -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-87160,7248496] |
[a1,a2,a3,a4,a6] |
Generators |
[-150:4114:1] |
Generators of the group modulo torsion |
j |
10091699281/2737152 |
j-invariant |
L |
2.0768172657055 |
L(r)(E,1)/r! |
Ω |
0.3592853852741 |
Real period |
R |
2.8902056009334 |
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 |
726e1 23232du1 17424cf1 528f1 |
Quadratic twists by: -4 8 -3 -11 |