Atkin-Lehner |
2- 11+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
49192f |
Isogeny class |
Conductor |
49192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
1278992 = 24 · 11 · 132 · 43 |
Discriminant |
Eigenvalues |
2- -2 -2 -1 11+ 13- 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44,85] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:13:1] [-2:13:1] |
Generators of the group modulo torsion |
j |
602275072/79937 |
j-invariant |
L |
5.7022534295153 |
L(r)(E,1)/r! |
Ω |
2.6196515897543 |
Real period |
R |
0.54418051734594 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98384f1 |
Quadratic twists by: -4 |