Atkin-Lehner |
3+ 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
3081a |
Isogeny class |
Conductor |
3081 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-83187 = -1 · 34 · 13 · 79 |
Discriminant |
Eigenvalues |
0 3+ 2 3 0 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-7,18] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:4:1] |
Generators of the group modulo torsion |
j |
-43614208/83187 |
j-invariant |
L |
2.9389884681594 |
L(r)(E,1)/r! |
Ω |
3.0466357920186 |
Real period |
R |
0.48233341114465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49296bg1 9243e1 77025h1 40053e1 |
Quadratic twists by: -4 -3 5 13 |