Atkin-Lehner |
3- 5+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
48675s |
Isogeny class |
Conductor |
48675 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
7.0755903945923E+20 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 11- -6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6369026,-6053392177] |
[a1,a2,a3,a4,a6] |
j |
1828616581180443279889/45283778525390625 |
j-invariant |
L |
2.855342526197 |
L(r)(E,1)/r! |
Ω |
0.095178084212874 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9735c1 |
Quadratic twists by: 5 |