Atkin-Lehner |
2- 3- 61- |
Signs for the Atkin-Lehner involutions |
Class |
366b |
Isogeny class |
Conductor |
366 |
Conductor |
∏ cp |
25 |
Product of Tamagawa factors cp |
deg |
60 |
Modular degree for the optimal curve |
Δ |
-474336 = -1 · 25 · 35 · 61 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 2 4 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5,33] |
[a1,a2,a3,a4,a6] |
j |
-13997521/474336 |
j-invariant |
L |
2.4635740364472 |
L(r)(E,1)/r! |
Ω |
2.4635740364472 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
2928j1 11712b1 1098e1 9150c1 |
Quadratic twists by: -4 8 -3 5 |