Atkin-Lehner |
2- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8330v |
Isogeny class |
Conductor |
8330 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
11900196350000000 = 27 · 58 · 77 · 172 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -4 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-67671337,-214250060951] |
[a1,a2,a3,a4,a6] |
j |
291306206119284545407569/101150000000 |
j-invariant |
L |
2.9477211188622 |
L(r)(E,1)/r! |
Ω |
0.052637877122539 |
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 |
66640cc4 74970be4 41650r4 1190d4 |
Quadratic twists by: -4 -3 5 -7 |