Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
8624f |
Isogeny class |
Conductor |
8624 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-12346872896512 = -1 · 210 · 77 · 114 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5341,-77518] |
[a1,a2,a3,a4,a6] |
Generators |
[289:5060:1] |
Generators of the group modulo torsion |
j |
139863132/102487 |
j-invariant |
L |
4.7190274714034 |
L(r)(E,1)/r! |
Ω |
0.39957078288067 |
Real period |
R |
2.9525603932938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4312h4 34496ch3 77616bt3 1232b4 |
Quadratic twists by: -4 8 -3 -7 |