Atkin-Lehner |
2+ 3- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
79344g |
Isogeny class |
Conductor |
79344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
312320 |
Modular degree for the optimal curve |
Δ |
-24287993109504 = -1 · 210 · 316 · 19 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 6 4 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4179,-258910] |
[a1,a2,a3,a4,a6] |
j |
-10812181828/32535999 |
j-invariant |
L |
4.3904544845391 |
L(r)(E,1)/r! |
Ω |
0.27440341088992 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39672l1 26448e1 |
Quadratic twists by: -4 -3 |