Atkin-Lehner |
13+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
118807b |
Isogeny class |
Conductor |
118807 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-125550128899 = -1 · 136 · 19 · 372 |
Discriminant |
Eigenvalues |
2 0 3 -3 1 13+ 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,169,-17027] |
[a1,a2,a3,a4,a6] |
Generators |
[4726826:6899551:195112] |
Generators of the group modulo torsion |
j |
110592/26011 |
j-invariant |
L |
14.78005313397 |
L(r)(E,1)/r! |
Ω |
0.49126246529148 |
Real period |
R |
7.5214646913861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999907969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
703b1 |
Quadratic twists by: 13 |