Atkin-Lehner |
2+ 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
113256j |
Isogeny class |
Conductor |
113256 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1486848 |
Modular degree for the optimal curve |
Δ |
892420649407153152 = 210 · 37 · 119 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 11+ 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2056395,1134121142] |
[a1,a2,a3,a4,a6] |
Generators |
[922:4680:1] |
Generators of the group modulo torsion |
j |
546363500/507 |
j-invariant |
L |
7.7171575170975 |
L(r)(E,1)/r! |
Ω |
0.2787127099296 |
Real period |
R |
3.461071751555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025922 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37752n1 113256bj1 |
Quadratic twists by: -3 -11 |