Atkin-Lehner |
2+ 3+ 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
37350b |
Isogeny class |
Conductor |
37350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22400 |
Modular degree for the optimal curve |
Δ |
-35856000000 = -1 · 210 · 33 · 56 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -1 2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-192,9216] |
[a1,a2,a3,a4,a6] |
Generators |
[0:96:1] |
Generators of the group modulo torsion |
j |
-1860867/84992 |
j-invariant |
L |
4.6971822389762 |
L(r)(E,1)/r! |
Ω |
0.96183502609841 |
Real period |
R |
1.220890826265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37350bf1 1494b1 |
Quadratic twists by: -3 5 |