Atkin-Lehner |
2- 3+ 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
54672s |
Isogeny class |
Conductor |
54672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1119744 |
Modular degree for the optimal curve |
Δ |
1.2324940956939E+19 |
Discriminant |
Eigenvalues |
2- 3+ -1 1 3 -3 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2149536,1201911552] |
[a1,a2,a3,a4,a6] |
Generators |
[414320:21823488:125] |
Generators of the group modulo torsion |
j |
268162555204755930529/3009018788315136 |
j-invariant |
L |
4.7440918412746 |
L(r)(E,1)/r! |
Ω |
0.22616531446779 |
Real period |
R |
5.2440532850778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000111 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6834u1 |
Quadratic twists by: -4 |