Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
26208bs |
Isogeny class |
Conductor |
26208 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
281655226944 = 26 · 312 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1641,-1640] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:140:1] |
Generators of the group modulo torsion |
j |
10474708672/6036849 |
j-invariant |
L |
4.1159345112449 |
L(r)(E,1)/r! |
Ω |
0.81719804895842 |
Real period |
R |
2.5183213031963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
26208bm1 52416fz2 8736k1 |
Quadratic twists by: -4 8 -3 |