Atkin-Lehner |
2+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
26026g |
Isogeny class |
Conductor |
26026 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-16745706385408 = -1 · 212 · 7 · 112 · 136 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 11- 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-623,-196819] |
[a1,a2,a3,a4,a6] |
Generators |
[14349:322798:27] |
Generators of the group modulo torsion |
j |
-5545233/3469312 |
j-invariant |
L |
2.984535915851 |
L(r)(E,1)/r! |
Ω |
0.3124049382985 |
Real period |
R |
4.7767105284989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
154b1 |
Quadratic twists by: 13 |