Atkin-Lehner |
2- 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
14616h |
Isogeny class |
Conductor |
14616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-15535083312 = -1 · 24 · 314 · 7 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,366,5357] |
[a1,a2,a3,a4,a6] |
Generators |
[14:115:1] |
Generators of the group modulo torsion |
j |
464857088/1331883 |
j-invariant |
L |
5.5857457831149 |
L(r)(E,1)/r! |
Ω |
0.87373002121651 |
Real period |
R |
3.1964941386229 |
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 |
29232i1 116928bo1 4872d1 102312bj1 |
Quadratic twists by: -4 8 -3 -7 |