Atkin-Lehner |
2- 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
90304m |
Isogeny class |
Conductor |
90304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6288048128 = 218 · 172 · 83 |
Discriminant |
Eigenvalues |
2- -2 0 2 -2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28353,1828159] |
[a1,a2,a3,a4,a6] |
Generators |
[63:544:1] [6951:92188:27] |
Generators of the group modulo torsion |
j |
9616037784625/23987 |
j-invariant |
L |
8.4439995362454 |
L(r)(E,1)/r! |
Ω |
1.1599394317022 |
Real period |
R |
3.6398450235574 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90304e2 22576d2 |
Quadratic twists by: -4 8 |