Atkin-Lehner |
2- 3+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
82764c |
Isogeny class |
Conductor |
82764 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-12068120331706032 = -1 · 24 · 33 · 118 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 11- -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29040,-5618151] |
[a1,a2,a3,a4,a6] |
j |
-3538944000/15768841 |
j-invariant |
L |
1.9921588980431 |
L(r)(E,1)/r! |
Ω |
0.16601323545691 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82764d1 7524c1 |
Quadratic twists by: -3 -11 |