Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
14112z |
Isogeny class |
Conductor |
14112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-316299965216256 = -1 · 29 · 37 · 710 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6909,-826630] |
[a1,a2,a3,a4,a6] |
Generators |
[27938:1651455:8] |
Generators of the group modulo torsion |
j |
830584/7203 |
j-invariant |
L |
4.5558493262702 |
L(r)(E,1)/r! |
Ω |
0.26919480800236 |
Real period |
R |
8.4619933052911 |
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 |
14112bb4 28224fx3 4704u4 2016c4 |
Quadratic twists by: -4 8 -3 -7 |