Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
37200du |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
878649120000 = 28 · 311 · 54 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 3 4 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10933,434063] |
[a1,a2,a3,a4,a6] |
Generators |
[47:162:1] |
Generators of the group modulo torsion |
j |
903361331200/5491557 |
j-invariant |
L |
7.6495815700388 |
L(r)(E,1)/r! |
Ω |
0.89246962198877 |
Real period |
R |
0.38960234008726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9300g1 111600gi1 37200bu1 |
Quadratic twists by: -4 -3 5 |