Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113256s |
Isogeny class |
Conductor |
113256 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
1174238208 = 210 · 36 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 4 2 11- 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-363,-2090] |
[a1,a2,a3,a4,a6] |
Generators |
[-1845:904:125] |
Generators of the group modulo torsion |
j |
58564/13 |
j-invariant |
L |
11.19709908671 |
L(r)(E,1)/r! |
Ω |
1.1110957145872 |
Real period |
R |
5.0387643982558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024361 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12584j1 113256bz1 |
Quadratic twists by: -3 -11 |