Atkin-Lehner |
3- 5- 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
42435f |
Isogeny class |
Conductor |
42435 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
7464960 |
Modular degree for the optimal curve |
Δ |
2.0755968284631E+19 |
Discriminant |
Eigenvalues |
1 3- 5- 4 -2 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-763063839,-8112957698952] |
[a1,a2,a3,a4,a6] |
Generators |
[-1125065355283428956648:562088988001603561428:70545851370996373] |
Generators of the group modulo torsion |
j |
67402934335228534245176614129/28471835781387225 |
j-invariant |
L |
8.9879861554927 |
L(r)(E,1)/r! |
Ω |
0.028724953635383 |
Real period |
R |
26.074849616744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14145c1 |
Quadratic twists by: -3 |