Atkin-Lehner |
2+ 3+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
90168h |
Isogeny class |
Conductor |
90168 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
49248 |
Modular degree for the optimal curve |
Δ |
-3901028352 = -1 · 211 · 3 · 133 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 0 13- 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,312,2028] |
[a1,a2,a3,a4,a6] |
j |
5656750/6591 |
j-invariant |
L |
2.7906812487207 |
L(r)(E,1)/r! |
Ω |
0.93022705802444 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90168q1 |
Quadratic twists by: 17 |