Atkin-Lehner |
2+ 3- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
37350s |
Isogeny class |
Conductor |
37350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-17643841200 = -1 · 24 · 312 · 52 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 1 4 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,468,-5184] |
[a1,a2,a3,a4,a6] |
Generators |
[60:456:1] |
Generators of the group modulo torsion |
j |
621257495/968112 |
j-invariant |
L |
4.3999832386541 |
L(r)(E,1)/r! |
Ω |
0.64939854004125 |
Real period |
R |
0.84693431062645 |
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 |
12450x1 37350bv1 |
Quadratic twists by: -3 5 |