Atkin-Lehner |
2+ 5+ 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
49450d |
Isogeny class |
Conductor |
49450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11328 |
Modular degree for the optimal curve |
Δ |
-48906050 = -1 · 2 · 52 · 232 · 432 |
Discriminant |
Eigenvalues |
2+ -1 5+ -2 -3 2 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-80,-470] |
[a1,a2,a3,a4,a6] |
Generators |
[11:6:1] [29:136:1] |
Generators of the group modulo torsion |
j |
-2309449585/1956242 |
j-invariant |
L |
5.5007929674391 |
L(r)(E,1)/r! |
Ω |
0.76938909991052 |
Real period |
R |
1.7873898161798 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49450u1 |
Quadratic twists by: 5 |