Atkin-Lehner |
2- 3+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
123420k |
Isogeny class |
Conductor |
123420 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
7850268088692480 = 28 · 32 · 5 · 119 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4292636,-3421782120] |
[a1,a2,a3,a4,a6] |
j |
19288565375865424/17309655 |
j-invariant |
L |
0.62931833018738 |
L(r)(E,1)/r! |
Ω |
0.1048862488941 |
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 |
11220b2 |
Quadratic twists by: -11 |