Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
19110cu |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
1760 |
Product of Tamagawa factors cp |
Δ |
-29617611864422400 = -1 · 211 · 310 · 52 · 73 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 13- 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,46514,7328516] |
[a1,a2,a3,a4,a6] |
Generators |
[1196:-42718:1] |
Generators of the group modulo torsion |
j |
32447412812909177/86348722636800 |
j-invariant |
L |
8.4645063193289 |
L(r)(E,1)/r! |
Ω |
0.26094238864791 |
Real period |
R |
0.073723224738577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57330cs2 95550p2 19110ca2 |
Quadratic twists by: -3 5 -7 |