Atkin-Lehner |
7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
48139n |
Isogeny class |
Conductor |
48139 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3928320 |
Modular degree for the optimal curve |
Δ |
-3.2769013381497E+19 |
Discriminant |
Eigenvalues |
-2 3 -3 7- -3 13+ -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-809899,393137062] |
[a1,a2,a3,a4,a6] |
Generators |
[12765:290672:27] |
Generators of the group modulo torsion |
j |
-396870925750272/221358574619 |
j-invariant |
L |
3.7902254483926 |
L(r)(E,1)/r! |
Ω |
0.1927765785156 |
Real period |
R |
4.9153085368587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000148 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2093a1 |
Quadratic twists by: -23 |