Atkin-Lehner |
2+ 5+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
25160a |
Isogeny class |
Conductor |
25160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2532102400 = 28 · 52 · 172 · 372 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 -4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-343,-342] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:24:1] |
Generators of the group modulo torsion |
j |
17432758224/9891025 |
j-invariant |
L |
3.0110148098304 |
L(r)(E,1)/r! |
Ω |
1.1975953581346 |
Real period |
R |
2.5142171680761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
50320a2 125800n2 |
Quadratic twists by: -4 5 |