Atkin-Lehner |
2+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
30634b |
Isogeny class |
Conductor |
30634 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1647616315710767104 = -1 · 218 · 179 · 53 |
Discriminant |
Eigenvalues |
2+ 2 3 -5 0 5 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-496941,-148513123] |
[a1,a2,a3,a4,a6] |
j |
-562271457628153/68259414016 |
j-invariant |
L |
3.2147759688933 |
L(r)(E,1)/r! |
Ω |
0.089299332469375 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1802a2 |
Quadratic twists by: 17 |