Atkin-Lehner |
2- 3- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
50160by |
Isogeny class |
Conductor |
50160 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
361536684604278480 = 24 · 38 · 5 · 114 · 196 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-287581,-51928690] |
[a1,a2,a3,a4,a6] |
Generators |
[-226:1254:1] |
Generators of the group modulo torsion |
j |
164393941520365256704/22596042787767405 |
j-invariant |
L |
7.4928871596355 |
L(r)(E,1)/r! |
Ω |
0.20804201338383 |
Real period |
R |
0.75033794033584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12540a1 |
Quadratic twists by: -4 |