Atkin-Lehner |
2- 3+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
65472bk |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
129896448 = 212 · 3 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11+ 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-217,1177] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:48:1] |
Generators of the group modulo torsion |
j |
277167808/31713 |
j-invariant |
L |
6.9399200777407 |
L(r)(E,1)/r! |
Ω |
1.7910607278554 |
Real period |
R |
1.9373771000774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996408 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65472cp2 32736n1 |
Quadratic twists by: -4 8 |