Atkin-Lehner |
2+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
26600p |
Isogeny class |
Conductor |
26600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
13300000000 = 28 · 58 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- -3 3 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-708,-4912] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:50:1] |
Generators of the group modulo torsion |
j |
393040/133 |
j-invariant |
L |
6.4437950853302 |
L(r)(E,1)/r! |
Ω |
0.95075232069903 |
Real period |
R |
1.1295958202504 |
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 |
53200x1 26600u1 |
Quadratic twists by: -4 5 |