Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8360j |
Isogeny class |
Conductor |
8360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1664 |
Modular degree for the optimal curve |
Δ |
5350400 = 210 · 52 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 11- -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56,-100] |
[a1,a2,a3,a4,a6] |
Generators |
[74:75:8] |
Generators of the group modulo torsion |
j |
19307236/5225 |
j-invariant |
L |
5.5914469079835 |
L(r)(E,1)/r! |
Ω |
1.7779695588526 |
Real period |
R |
3.1448496292545 |
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 |
16720i1 66880bi1 75240m1 41800d1 |
Quadratic twists by: -4 8 -3 5 |