Atkin-Lehner |
2- 7+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113344cj |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
464257024 = 218 · 7 · 11 · 23 |
Discriminant |
Eigenvalues |
2- -1 1 7+ 11+ 1 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-385,2849] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:68:1] [5:32:1] |
Generators of the group modulo torsion |
j |
24137569/1771 |
j-invariant |
L |
10.420236884022 |
L(r)(E,1)/r! |
Ω |
1.6303492820943 |
Real period |
R |
1.5978534476531 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999989728 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113344bx1 28336w1 |
Quadratic twists by: -4 8 |