Atkin-Lehner |
2+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
88400c |
Isogeny class |
Conductor |
88400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5646019600000000 = -1 · 210 · 58 · 132 · 174 |
Discriminant |
Eigenvalues |
2+ 2 5+ -4 -2 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-156008,-23939488] |
[a1,a2,a3,a4,a6] |
Generators |
[3381658:29694750:6859] |
Generators of the group modulo torsion |
j |
-26245032877444/352876225 |
j-invariant |
L |
7.041656698875 |
L(r)(E,1)/r! |
Ω |
0.12001490811749 |
Real period |
R |
7.3341479002007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011324 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44200c2 17680e2 |
Quadratic twists by: -4 5 |