Atkin-Lehner |
2- 3- 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
85260n |
Isogeny class |
Conductor |
85260 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-64972212480 = -1 · 28 · 36 · 5 · 74 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -3 -4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,964,-3900] |
[a1,a2,a3,a4,a6] |
Generators |
[4:6:1] |
Generators of the group modulo torsion |
j |
161017136/105705 |
j-invariant |
L |
6.1296149771485 |
L(r)(E,1)/r! |
Ω |
0.6289645225471 |
Real period |
R |
1.6242609238849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971439 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
85260l1 |
Quadratic twists by: -7 |