Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
24108n |
Isogeny class |
Conductor |
24108 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-569334528 = -1 · 28 · 33 · 72 · 412 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 0 1 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-205,-1681] |
[a1,a2,a3,a4,a6] |
Generators |
[41:-246:1] |
Generators of the group modulo torsion |
j |
-76324864/45387 |
j-invariant |
L |
4.4589911702009 |
L(r)(E,1)/r! |
Ω |
0.61387833662028 |
Real period |
R |
0.40353554914752 |
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 |
96432ca1 72324n1 24108b1 |
Quadratic twists by: -4 -3 -7 |