Atkin-Lehner |
2+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
65600d |
Isogeny class |
Conductor |
65600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-8405000000 = -1 · 26 · 57 · 412 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 2 4 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-175,-4500] |
[a1,a2,a3,a4,a6] |
Generators |
[4120:264450:1] |
Generators of the group modulo torsion |
j |
-592704/8405 |
j-invariant |
L |
5.4400855082868 |
L(r)(E,1)/r! |
Ω |
0.55967340700496 |
Real period |
R |
4.8600535959374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999553 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65600c1 32800a2 13120o1 |
Quadratic twists by: -4 8 5 |