Atkin-Lehner |
2+ 3- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
102672k |
Isogeny class |
Conductor |
102672 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4122624 |
Modular degree for the optimal curve |
Δ |
9.4822199023137E+18 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 0 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16438170,-25651990573] |
[a1,a2,a3,a4,a6] |
Generators |
[60386064557743265:-7644587863570156132:3536123102875] |
Generators of the group modulo torsion |
j |
42114980476184836864000/812947522489173 |
j-invariant |
L |
5.6134859137431 |
L(r)(E,1)/r! |
Ω |
0.074978490160323 |
Real period |
R |
24.955983491953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000045721 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51336o1 34224a1 |
Quadratic twists by: -4 -3 |