Atkin-Lehner |
2- 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
85800cy |
Isogeny class |
Conductor |
85800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
-228399600000000 = -1 · 210 · 3 · 58 · 114 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40008,3151488] |
[a1,a2,a3,a4,a6] |
Generators |
[263:3300:1] |
Generators of the group modulo torsion |
j |
-442644537604/14274975 |
j-invariant |
L |
9.5858370042407 |
L(r)(E,1)/r! |
Ω |
0.5558401085694 |
Real period |
R |
2.1557091799334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000761 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17160e1 |
Quadratic twists by: 5 |