Atkin-Lehner |
2- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
83824u |
Isogeny class |
Conductor |
83824 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
274176 |
Modular degree for the optimal curve |
Δ |
-404602437616 = -1 · 24 · 138 · 31 |
Discriminant |
Eigenvalues |
2- -2 1 1 2 13+ 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-156550,23789091] |
[a1,a2,a3,a4,a6] |
j |
-5494214435584/5239 |
j-invariant |
L |
1.5868652717085 |
L(r)(E,1)/r! |
Ω |
0.79343260897743 |
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 |
20956g1 6448h1 |
Quadratic twists by: -4 13 |