Atkin-Lehner |
2- 5+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
49610p |
Isogeny class |
Conductor |
49610 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
22848 |
Modular degree for the optimal curve |
Δ |
-34925440 = -1 · 27 · 5 · 113 · 41 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 11+ -5 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-206,1156] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:50:1] [10:6:1] |
Generators of the group modulo torsion |
j |
-726572699/26240 |
j-invariant |
L |
8.2847650281454 |
L(r)(E,1)/r! |
Ω |
2.0523939669701 |
Real period |
R |
0.28833106124139 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49610a1 |
Quadratic twists by: -11 |