Atkin-Lehner |
2- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
8800t |
Isogeny class |
Conductor |
8800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
605000000 = 26 · 57 · 112 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 11+ -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-258,988] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:50:1] [-7:50:1] |
Generators of the group modulo torsion |
j |
1906624/605 |
j-invariant |
L |
4.0144872553538 |
L(r)(E,1)/r! |
Ω |
1.5053425720258 |
Real period |
R |
0.66670659057239 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999966 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8800z1 17600cl2 79200bz1 1760e1 |
Quadratic twists by: -4 8 -3 5 |