Atkin-Lehner |
2- 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
5160i |
Isogeny class |
Conductor |
5160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
896 |
Modular degree for the optimal curve |
Δ |
3302400 = 210 · 3 · 52 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -2 2 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56,156] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:16:1] |
Generators of the group modulo torsion |
j |
19307236/3225 |
j-invariant |
L |
2.8291247251859 |
L(r)(E,1)/r! |
Ω |
2.400289224489 |
Real period |
R |
1.1786599282793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10320h1 41280bm1 15480h1 25800k1 |
Quadratic twists by: -4 8 -3 5 |