Atkin-Lehner |
2+ 5- 23- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
19090g |
Isogeny class |
Conductor |
19090 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
77760 |
Modular degree for the optimal curve |
Δ |
1909000000000 = 29 · 59 · 23 · 83 |
Discriminant |
Eigenvalues |
2+ -3 5- 1 -4 2 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9694,-358892] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:89:1] |
Generators of the group modulo torsion |
j |
100752993450271161/1909000000000 |
j-invariant |
L |
2.5102245163931 |
L(r)(E,1)/r! |
Ω |
0.48169424170311 |
Real period |
R |
0.57902671655082 |
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 |
95450l1 |
Quadratic twists by: 5 |