Atkin-Lehner |
2- 5+ 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
63550o |
Isogeny class |
Conductor |
63550 |
Conductor |
∏ cp |
19 |
Product of Tamagawa factors cp |
deg |
253536 |
Modular degree for the optimal curve |
Δ |
16659251200 = 219 · 52 · 31 · 41 |
Discriminant |
Eigenvalues |
2- -3 5+ -5 -1 -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16575,825447] |
[a1,a2,a3,a4,a6] |
Generators |
[83:86:1] [-57:1286:1] |
Generators of the group modulo torsion |
j |
20142795811273065/666370048 |
j-invariant |
L |
7.9146267144735 |
L(r)(E,1)/r! |
Ω |
1.1534515298571 |
Real period |
R |
0.3611415737706 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63550g1 |
Quadratic twists by: 5 |