Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54600z |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-91766220000000000 = -1 · 211 · 3 · 510 · 76 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 13+ 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,104792,6511088] |
[a1,a2,a3,a4,a6] |
Generators |
[1639:67704:1] |
Generators of the group modulo torsion |
j |
6363176350/4588311 |
j-invariant |
L |
7.6034697616635 |
L(r)(E,1)/r! |
Ω |
0.21541122704749 |
Real period |
R |
5.8829104575626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109200d1 54600bt1 |
Quadratic twists by: -4 5 |