Atkin-Lehner |
2- 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
8010i |
Isogeny class |
Conductor |
8010 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2160 |
Modular degree for the optimal curve |
Δ |
-2595240 = -1 · 23 · 36 · 5 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 1 4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-113,-439] |
[a1,a2,a3,a4,a6] |
Generators |
[13:6:1] |
Generators of the group modulo torsion |
j |
-217081801/3560 |
j-invariant |
L |
5.4389601268725 |
L(r)(E,1)/r! |
Ω |
0.73194367504042 |
Real period |
R |
2.4769483920431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64080s1 890d1 40050i1 |
Quadratic twists by: -4 -3 5 |