Atkin-Lehner |
2+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
37544c |
Isogeny class |
Conductor |
37544 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-296747776 = -1 · 28 · 132 · 193 |
Discriminant |
Eigenvalues |
2+ -2 -3 -5 -5 13+ -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-177,1171] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:26:1] [-13:38:1] [-9:46:1] |
Generators of the group modulo torsion |
j |
-351232/169 |
j-invariant |
L |
6.5657627354544 |
L(r)(E,1)/r! |
Ω |
1.6121895667448 |
Real period |
R |
0.25453593016017 |
Regulator |
r |
3 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75088e1 37544j1 |
Quadratic twists by: -4 -19 |