Atkin-Lehner |
3- 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5187f |
Isogeny class |
Conductor |
5187 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
7440 |
Modular degree for the optimal curve |
Δ |
-2104723803 = -1 · 3 · 75 · 133 · 19 |
Discriminant |
Eigenvalues |
0 3- -4 7+ -3 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-12955,-571895] |
[a1,a2,a3,a4,a6] |
Generators |
[211:2476:1] |
Generators of the group modulo torsion |
j |
-240474752802390016/2104723803 |
j-invariant |
L |
2.6273885100356 |
L(r)(E,1)/r! |
Ω |
0.22374698044279 |
Real period |
R |
3.9142256502354 |
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 |
82992ce1 15561f1 129675i1 36309d1 |
Quadratic twists by: -4 -3 5 -7 |