Atkin-Lehner |
3+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
19239h |
Isogeny class |
Conductor |
19239 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
16848 |
Modular degree for the optimal curve |
Δ |
-354571864911 = -1 · 39 · 112 · 533 |
Discriminant |
Eigenvalues |
-1 3+ 1 -1 11- 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3330,-80706] |
[a1,a2,a3,a4,a6] |
Generators |
[218:2991:1] |
Generators of the group modulo torsion |
j |
-33750420916201/2930345991 |
j-invariant |
L |
2.7047098195307 |
L(r)(E,1)/r! |
Ω |
0.31268739166387 |
Real period |
R |
2.8832948301693 |
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 |
57717q1 19239g1 |
Quadratic twists by: -3 -11 |