Atkin-Lehner |
2+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
42560bb |
Isogeny class |
Conductor |
42560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
101080000 = 26 · 54 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 0 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5827,-171204] |
[a1,a2,a3,a4,a6] |
Generators |
[706:345:8] |
Generators of the group modulo torsion |
j |
341884012521024/1579375 |
j-invariant |
L |
5.5347879579275 |
L(r)(E,1)/r! |
Ω |
0.54643488895067 |
Real period |
R |
5.0644533043641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999917 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42560bh1 21280o2 |
Quadratic twists by: -4 8 |