Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
26208br |
Isogeny class |
Conductor |
26208 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-13782174561792 = -1 · 29 · 36 · 75 · 133 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -1 13- -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5685,-68434] |
[a1,a2,a3,a4,a6] |
Generators |
[17:182:1] |
Generators of the group modulo torsion |
j |
54439939000/36924979 |
j-invariant |
L |
5.2600693830046 |
L(r)(E,1)/r! |
Ω |
0.40028084478092 |
Real period |
R |
0.43803156805098 |
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 |
26208bj1 52416fs1 2912c1 |
Quadratic twists by: -4 8 -3 |