Atkin-Lehner |
2+ 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
83664x |
Isogeny class |
Conductor |
83664 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-1646758512 = -1 · 24 · 311 · 7 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -2 1 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,141,-1843] |
[a1,a2,a3,a4,a6] |
j |
26578688/141183 |
j-invariant |
L |
1.5045695354487 |
L(r)(E,1)/r! |
Ω |
0.75228479979813 |
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 |
41832s1 27888c1 |
Quadratic twists by: -4 -3 |