Atkin-Lehner |
2+ 3- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
37350r |
Isogeny class |
Conductor |
37350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
1.713047076864E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1491417,-307730259] |
[a1,a2,a3,a4,a6] |
Generators |
[-78813:-1598031:343] |
Generators of the group modulo torsion |
j |
32208729120020809/15039096422400 |
j-invariant |
L |
4.2557152782751 |
L(r)(E,1)/r! |
Ω |
0.14292429305842 |
Real period |
R |
7.4440026730385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12450w1 7470n1 |
Quadratic twists by: -3 5 |