Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352bi |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-15210810768384 = -1 · 210 · 313 · 7 · 113 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 11- -1 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1572,186104] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:297:1] |
Generators of the group modulo torsion |
j |
575511296/20376279 |
j-invariant |
L |
5.7439153064728 |
L(r)(E,1)/r! |
Ω |
0.52865579708931 |
Real period |
R |
1.8108554242993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999898 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44352eh1 5544o1 14784b1 |
Quadratic twists by: -4 8 -3 |