Atkin-Lehner |
2- 5- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
117040cj |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
199248896000000 = 216 · 56 · 72 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11+ 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20560,-902208] |
[a1,a2,a3,a4,a6] |
j |
234668187084241/48644750000 |
j-invariant |
L |
4.8542010323661 |
L(r)(E,1)/r! |
Ω |
0.40451671298101 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14630w2 |
Quadratic twists by: -4 |