Atkin-Lehner |
2- 3- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9690t |
Isogeny class |
Conductor |
9690 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
45246873600 = 215 · 32 · 52 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 4 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1072518485,13519244470497] |
[a1,a2,a3,a4,a6] |
j |
136438856304351209695656244409041/45246873600 |
j-invariant |
L |
6.2298351927697 |
L(r)(E,1)/r! |
Ω |
0.20766117309232 |
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 |
77520bt2 29070i2 48450f2 |
Quadratic twists by: -4 -3 5 |