Atkin-Lehner |
2+ 3+ 7- 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
38766k |
Isogeny class |
Conductor |
38766 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-4996009962216 = -1 · 23 · 34 · 76 · 13 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -2 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4011,143685] |
[a1,a2,a3,a4,a6] |
Generators |
[33:-237:1] |
Generators of the group modulo torsion |
j |
-7139221691096377/4996009962216 |
j-invariant |
L |
2.2474041248061 |
L(r)(E,1)/r! |
Ω |
0.70771141595114 |
Real period |
R |
0.52926566633245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116298bo2 |
Quadratic twists by: -3 |