Atkin-Lehner |
7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
48139l |
Isogeny class |
Conductor |
48139 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1104000 |
Modular degree for the optimal curve |
Δ |
-6.981224589971E+19 |
Discriminant |
Eigenvalues |
1 2 0 7- 1 13+ -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-389090,-412871563] |
[a1,a2,a3,a4,a6] |
Generators |
[12912547577436757708:1928674267472946538813:574498652337091] |
Generators of the group modulo torsion |
j |
-83186523625/891474493 |
j-invariant |
L |
10.352415910215 |
L(r)(E,1)/r! |
Ω |
0.082847751876375 |
Real period |
R |
31.239278301912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48139b1 |
Quadratic twists by: -23 |