Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
19360k |
Isogeny class |
Conductor |
19360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-49887157760 = -1 · 29 · 5 · 117 |
Discriminant |
Eigenvalues |
2+ -1 5- -3 11- 2 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40,10760] |
[a1,a2,a3,a4,a6] |
Generators |
[37:242:1] |
Generators of the group modulo torsion |
j |
-8/55 |
j-invariant |
L |
3.5596652254862 |
L(r)(E,1)/r! |
Ω |
0.90306991386088 |
Real period |
R |
0.98543456349566 |
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 |
19360i1 38720by1 96800bq1 1760m1 |
Quadratic twists by: -4 8 5 -11 |