Atkin-Lehner |
2+ 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
76296c |
Isogeny class |
Conductor |
76296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
613120192955753472 = 210 · 33 · 11 · 1710 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 11- -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1858944,975437820] |
[a1,a2,a3,a4,a6] |
j |
28742820444292/24805737 |
j-invariant |
L |
0.57465716992135 |
L(r)(E,1)/r! |
Ω |
0.28732860200742 |
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 |
4488e4 |
Quadratic twists by: 17 |