Atkin-Lehner |
2+ 3- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
94248m |
Isogeny class |
Conductor |
94248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
-7008092784 = -1 · 24 · 39 · 7 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 11- -1 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,249,-3733] |
[a1,a2,a3,a4,a6] |
Generators |
[23:119:1] |
Generators of the group modulo torsion |
j |
146377472/600831 |
j-invariant |
L |
9.6445093708168 |
L(r)(E,1)/r! |
Ω |
0.67239879269601 |
Real period |
R |
1.7929295603267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999966774 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31416m1 |
Quadratic twists by: -3 |