Atkin-Lehner |
3- 5+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
119925u |
Isogeny class |
Conductor |
119925 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-86571562060546875 = -1 · 39 · 511 · 133 · 41 |
Discriminant |
Eigenvalues |
-2 3- 5+ -2 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,83175,-10730844] |
[a1,a2,a3,a4,a6] |
Generators |
[140:1912:1] |
Generators of the group modulo torsion |
j |
5586690166784/7600246875 |
j-invariant |
L |
2.3216939360033 |
L(r)(E,1)/r! |
Ω |
0.18130016898698 |
Real period |
R |
3.2014503764484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998233586 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39975n1 23985g1 |
Quadratic twists by: -3 5 |