Atkin-Lehner |
2- 3- 5+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
122550cb |
Isogeny class |
Conductor |
122550 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
1088483432062500 = 22 · 310 · 56 · 193 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-157663,-24056683] |
[a1,a2,a3,a4,a6] |
Generators |
[1298:43607:1] |
Generators of the group modulo torsion |
j |
27739154300781097/69662939652 |
j-invariant |
L |
14.367667598889 |
L(r)(E,1)/r! |
Ω |
0.23962528269019 |
Real period |
R |
5.9958896590242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037348 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4902a1 |
Quadratic twists by: 5 |