Atkin-Lehner |
2- 3- 5+ 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
26790u |
Isogeny class |
Conductor |
26790 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
16873842240 = 26 · 310 · 5 · 19 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 2 0 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-741,4545] |
[a1,a2,a3,a4,a6] |
Generators |
[24:15:1] |
Generators of the group modulo torsion |
j |
45000254125009/16873842240 |
j-invariant |
L |
9.0961779938273 |
L(r)(E,1)/r! |
Ω |
1.1269330362779 |
Real period |
R |
0.53810816324813 |
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 |
80370r1 |
Quadratic twists by: -3 |