Atkin-Lehner |
2+ 7+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113344c |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
1659469504 = 26 · 7 · 115 · 23 |
Discriminant |
Eigenvalues |
2+ -1 1 7+ 11+ 5 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1100,14278] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:124:1] |
Generators of the group modulo torsion |
j |
2302059513664/25929211 |
j-invariant |
L |
5.1797678057942 |
L(r)(E,1)/r! |
Ω |
1.5030951931359 |
Real period |
R |
3.4460677022167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014231 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113344by1 56672t1 |
Quadratic twists by: -4 8 |