Atkin-Lehner |
2- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
115520cl |
Isogeny class |
Conductor |
115520 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
919296 |
Modular degree for the optimal curve |
Δ |
1391293484318720 = 214 · 5 · 198 |
Discriminant |
Eigenvalues |
2- 2 5- 4 -3 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-146325,-21420403] |
[a1,a2,a3,a4,a6] |
Generators |
[-8327570267745678388368300314244:10116302008335221469635770259033:37470137124599431954197296913] |
Generators of the group modulo torsion |
j |
1245184/5 |
j-invariant |
L |
11.875933457733 |
L(r)(E,1)/r! |
Ω |
0.24416003297851 |
Real period |
R |
48.639956805617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115520v1 28880r1 115520cy1 |
Quadratic twists by: -4 8 -19 |