Atkin-Lehner |
2+ 7- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
47138c |
Isogeny class |
Conductor |
47138 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14784 |
Modular degree for the optimal curve |
Δ |
-337885184 = -1 · 211 · 73 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 1 2 7- -3 13+ -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-40,886] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:22:1] |
Generators of the group modulo torsion |
j |
-19902511/985088 |
j-invariant |
L |
5.3760097481726 |
L(r)(E,1)/r! |
Ω |
1.4171881833852 |
Real period |
R |
1.8967169678624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47138f1 |
Quadratic twists by: -7 |