Atkin-Lehner |
2+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
37184b |
Isogeny class |
Conductor |
37184 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
-45710737408 = -1 · 215 · 75 · 83 |
Discriminant |
Eigenvalues |
2+ 0 0 7+ -5 2 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,820,-4912] |
[a1,a2,a3,a4,a6] |
Generators |
[28:200:1] |
Generators of the group modulo torsion |
j |
1860867000/1394981 |
j-invariant |
L |
4.0169122428264 |
L(r)(E,1)/r! |
Ω |
0.63531407767927 |
Real period |
R |
3.1613593842441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37184e1 18592b1 |
Quadratic twists by: -4 8 |