Atkin-Lehner |
2- 5+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
80560i |
Isogeny class |
Conductor |
80560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-3299737600 = -1 · 217 · 52 · 19 · 53 |
Discriminant |
Eigenvalues |
2- 0 5+ 1 2 1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,157,2658] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:50:1] |
Generators of the group modulo torsion |
j |
104487111/805600 |
j-invariant |
L |
6.5696485172375 |
L(r)(E,1)/r! |
Ω |
1.0311203389932 |
Real period |
R |
1.592842335379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10070a1 |
Quadratic twists by: -4 |