Atkin-Lehner |
2- 3- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
37350bp |
Isogeny class |
Conductor |
37350 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-4708200937500 = -1 · 22 · 37 · 57 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12380,-537253] |
[a1,a2,a3,a4,a6] |
j |
-18420660721/413340 |
j-invariant |
L |
3.6160593257335 |
L(r)(E,1)/r! |
Ω |
0.22600370786052 |
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 |
12450e1 7470c1 |
Quadratic twists by: -3 5 |