Atkin-Lehner |
2- 3- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
79344bt |
Isogeny class |
Conductor |
79344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-34782804946944 = -1 · 212 · 312 · 19 · 292 |
Discriminant |
Eigenvalues |
2- 3- 3 1 -5 -4 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3936,299248] |
[a1,a2,a3,a4,a6] |
j |
-2258403328/11648691 |
j-invariant |
L |
2.264585915473 |
L(r)(E,1)/r! |
Ω |
0.5661464917887 |
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 |
4959c1 26448u1 |
Quadratic twists by: -4 -3 |