Atkin-Lehner |
2+ 3- 61- |
Signs for the Atkin-Lehner involutions |
Class |
366f |
Isogeny class |
Conductor |
366 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
48 |
Modular degree for the optimal curve |
Δ |
-177876 = -1 · 22 · 36 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -3 -1 -3 -1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5,20] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:4:1] |
Generators of the group modulo torsion |
j |
-10218313/177876 |
j-invariant |
L |
1.3650563331307 |
L(r)(E,1)/r! |
Ω |
2.7041672516108 |
Real period |
R |
0.37859797660009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
2928k1 11712e1 1098l1 9150s1 |
Quadratic twists by: -4 8 -3 5 |