Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
37200v |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
416978668800 = 28 · 37 · 52 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 1 0 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14353,656363] |
[a1,a2,a3,a4,a6] |
Generators |
[62:93:1] |
Generators of the group modulo torsion |
j |
51097782154240/65152917 |
j-invariant |
L |
7.3260805056517 |
L(r)(E,1)/r! |
Ω |
0.94220343184658 |
Real period |
R |
0.37026077879579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18600b1 111600bf1 37200l1 |
Quadratic twists by: -4 -3 5 |