Atkin-Lehner |
2+ 3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
83664j |
Isogeny class |
Conductor |
83664 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
67494760704 = 28 · 33 · 76 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -6 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1671,-23130] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:48:1] [-23:56:1] |
Generators of the group modulo torsion |
j |
74653355376/9764867 |
j-invariant |
L |
9.5490355247564 |
L(r)(E,1)/r! |
Ω |
0.75316026215363 |
Real period |
R |
2.11310394446 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41832b2 83664l2 |
Quadratic twists by: -4 -3 |