Atkin-Lehner |
2- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
21424m |
Isogeny class |
Conductor |
21424 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
1654552896256 = 28 · 137 · 103 |
Discriminant |
Eigenvalues |
2- 1 3 0 -2 13- 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38524,2896888] |
[a1,a2,a3,a4,a6] |
Generators |
[111:26:1] |
Generators of the group modulo torsion |
j |
24699555786200272/6463097251 |
j-invariant |
L |
7.3508596530994 |
L(r)(E,1)/r! |
Ω |
0.82201000433003 |
Real period |
R |
1.277506115563 |
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 |
5356b1 85696bk1 |
Quadratic twists by: -4 8 |