Atkin-Lehner |
2- 5- 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
104650bk |
Isogeny class |
Conductor |
104650 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
48960 |
Modular degree for the optimal curve |
Δ |
-410228000 = -1 · 25 · 53 · 73 · 13 · 23 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,17,981] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-38:1] |
Generators of the group modulo torsion |
j |
4330747/3281824 |
j-invariant |
L |
6.6715323707946 |
L(r)(E,1)/r! |
Ω |
1.3123240357695 |
Real period |
R |
0.16945846097393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043133 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104650r1 |
Quadratic twists by: 5 |