Atkin-Lehner |
11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
24299b |
Isogeny class |
Conductor |
24299 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
953856 |
Modular degree for the optimal curve |
Δ |
-7.000944500589E+19 |
Discriminant |
Eigenvalues |
2 -1 3 -2 11+ 0 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-115604,402888117] |
[a1,a2,a3,a4,a6] |
j |
-15851081728/6494855411 |
j-invariant |
L |
2.5306754999681 |
L(r)(E,1)/r! |
Ω |
0.158167218748 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
517c1 |
Quadratic twists by: -47 |