Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115600b |
Isogeny class |
Conductor |
115600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1931005520000000 = 210 · 57 · 176 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-773075,261617250] |
[a1,a2,a3,a4,a6] |
Generators |
[341:6136:1] |
Generators of the group modulo torsion |
j |
132304644/5 |
j-invariant |
L |
8.4263728088204 |
L(r)(E,1)/r! |
Ω |
0.43796216382067 |
Real period |
R |
4.8099890089116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037542 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57800s4 23120a4 400a3 |
Quadratic twists by: -4 5 17 |