Atkin-Lehner |
2- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8330v |
Isogeny class |
Conductor |
8330 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
Δ |
4930375109847040000 = 214 · 54 · 78 · 174 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -4 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4230057,-3345869719] |
[a1,a2,a3,a4,a6] |
j |
71149857462630609489/41907496960000 |
j-invariant |
L |
2.9477211188622 |
L(r)(E,1)/r! |
Ω |
0.10527575424508 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
66640cc2 74970be2 41650r2 1190d2 |
Quadratic twists by: -4 -3 5 -7 |