Atkin-Lehner |
7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
48139f |
Isogeny class |
Conductor |
48139 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
4105728 |
Modular degree for the optimal curve |
Δ |
-8.6691632832244E+22 |
Discriminant |
Eigenvalues |
0 1 -3 7+ 3 13- 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,8575443,-10353274073] |
[a1,a2,a3,a4,a6] |
Generators |
[574948:56948405:64] |
Generators of the group modulo torsion |
j |
471114356703100928/585612268875179 |
j-invariant |
L |
4.3667509751781 |
L(r)(E,1)/r! |
Ω |
0.057654747593281 |
Real period |
R |
1.0519397210356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2093f1 |
Quadratic twists by: -23 |