Atkin-Lehner |
2- 7- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
48314t |
Isogeny class |
Conductor |
48314 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
801792 |
Modular degree for the optimal curve |
Δ |
-12665434192216064 = -1 · 218 · 78 · 172 · 29 |
Discriminant |
Eigenvalues |
2- 3 3 7- -3 3 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22476,-5562161] |
[a1,a2,a3,a4,a6] |
j |
-10672703078913/107654414336 |
j-invariant |
L |
12.209351696186 |
L(r)(E,1)/r! |
Ω |
0.16957432910522 |
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 |
6902c1 |
Quadratic twists by: -7 |