Atkin-Lehner |
2+ 3- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
83664p |
Isogeny class |
Conductor |
83664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-196814722212864 = -1 · 210 · 39 · 76 · 83 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 3 -4 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59043,5563154] |
[a1,a2,a3,a4,a6] |
Generators |
[107:686:1] |
Generators of the group modulo torsion |
j |
-30493092792964/263651409 |
j-invariant |
L |
5.4327887096892 |
L(r)(E,1)/r! |
Ω |
0.56830317195034 |
Real period |
R |
1.1949582932547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004508 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41832i1 27888a1 |
Quadratic twists by: -4 -3 |