Atkin-Lehner |
2+ 7+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
79618f |
Isogeny class |
Conductor |
79618 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1478400 |
Modular degree for the optimal curve |
Δ |
-838505727701024768 = -1 · 222 · 74 · 116 · 47 |
Discriminant |
Eigenvalues |
2+ 0 -4 7+ 11- 0 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,201866,-26926476] |
[a1,a2,a3,a4,a6] |
j |
513518298333039/473314623488 |
j-invariant |
L |
0.30870248727744 |
L(r)(E,1)/r! |
Ω |
0.15435122748971 |
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 |
658e1 |
Quadratic twists by: -11 |