Atkin-Lehner |
2- 3- 23+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
85284a |
Isogeny class |
Conductor |
85284 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
34176 |
Modular degree for the optimal curve |
Δ |
1326336768 = 28 · 37 · 23 · 103 |
Discriminant |
Eigenvalues |
2- 3- 2 1 5 -1 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-399,2518] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:54:1] |
Generators of the group modulo torsion |
j |
37642192/7107 |
j-invariant |
L |
9.0017088227357 |
L(r)(E,1)/r! |
Ω |
1.4491018194871 |
Real period |
R |
1.0353204884591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001406 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28428b1 |
Quadratic twists by: -3 |