Atkin-Lehner |
2+ 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
37350m |
Isogeny class |
Conductor |
37350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
4538025000000 = 26 · 37 · 58 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -2 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4167,15741] |
[a1,a2,a3,a4,a6] |
j |
702595369/398400 |
j-invariant |
L |
2.6637257503668 |
L(r)(E,1)/r! |
Ω |
0.66593143758957 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12450z1 7470r1 |
Quadratic twists by: -3 5 |