Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57800d |
Isogeny class |
Conductor |
57800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
223224238112000000 = 211 · 56 · 178 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 -2 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-349208,76222412] |
[a1,a2,a3,a4,a6] |
Generators |
[66079370148:11197967370371:2299968] |
Generators of the group modulo torsion |
j |
6097250/289 |
j-invariant |
L |
9.8175334938245 |
L(r)(E,1)/r! |
Ω |
0.31099819401051 |
Real period |
R |
15.783907564495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998482 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115600i2 2312d2 3400e2 |
Quadratic twists by: -4 5 17 |