Atkin-Lehner |
2+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
81928g |
Isogeny class |
Conductor |
81928 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3392839039744 = -1 · 28 · 78 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ -2 2 7- 11+ -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3708,18640] |
[a1,a2,a3,a4,a6] |
Generators |
[303:5390:1] |
Generators of the group modulo torsion |
j |
187153328/112651 |
j-invariant |
L |
5.1928630562049 |
L(r)(E,1)/r! |
Ω |
0.48628827930653 |
Real period |
R |
2.6696423076474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992408 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11704c2 |
Quadratic twists by: -7 |