Atkin-Lehner |
2+ 5- 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
37720g |
Isogeny class |
Conductor |
37720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14848 |
Modular degree for the optimal curve |
Δ |
555238400 = 210 · 52 · 232 · 41 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 -2 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-320,-2000] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:16:1] |
Generators of the group modulo torsion |
j |
3550014724/542225 |
j-invariant |
L |
3.6961675841897 |
L(r)(E,1)/r! |
Ω |
1.1400704839836 |
Real period |
R |
1.6210259085351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75440o1 |
Quadratic twists by: -4 |