Atkin-Lehner |
2+ 3+ 5+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
56070a |
Isogeny class |
Conductor |
56070 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-2411458560 = -1 · 212 · 33 · 5 · 72 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 6 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-420,4176] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:75:1] |
Generators of the group modulo torsion |
j |
-303871055067/89313280 |
j-invariant |
L |
4.6898631766761 |
L(r)(E,1)/r! |
Ω |
1.3752311974453 |
Real period |
R |
1.7051180868219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56070r1 |
Quadratic twists by: -3 |