Atkin-Lehner |
2+ 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
83664z |
Isogeny class |
Conductor |
83664 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
394240 |
Modular degree for the optimal curve |
Δ |
-4554854999783424 = -1 · 211 · 313 · 75 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 3 -2 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,23109,-2952182] |
[a1,a2,a3,a4,a6] |
j |
914133635854/3050823447 |
j-invariant |
L |
4.4410196177626 |
L(r)(E,1)/r! |
Ω |
0.22205098363339 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41832u1 27888k1 |
Quadratic twists by: -4 -3 |