Atkin-Lehner |
2+ 3- 5+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
113520l |
Isogeny class |
Conductor |
113520 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
376832 |
Modular degree for the optimal curve |
Δ |
-286684274384640 = -1 · 28 · 316 · 5 · 112 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-76,814604] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:792:1] |
Generators of the group modulo torsion |
j |
-192143824/1119860446815 |
j-invariant |
L |
8.5466578953689 |
L(r)(E,1)/r! |
Ω |
0.43566740551886 |
Real period |
R |
1.2260869457953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997105 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56760d1 |
Quadratic twists by: -4 |