Atkin-Lehner |
2- 3+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
83496l |
Isogeny class |
Conductor |
83496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
153963952128 = 211 · 32 · 76 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1335952,-593894132] |
[a1,a2,a3,a4,a6] |
Generators |
[224716653203307:3661987468417720:153904483279] |
Generators of the group modulo torsion |
j |
1094405855968514/639 |
j-invariant |
L |
6.9751902405505 |
L(r)(E,1)/r! |
Ω |
0.1404273867385 |
Real period |
R |
24.835576604997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985422 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1704d4 |
Quadratic twists by: -7 |