Atkin-Lehner |
2- 5+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
76700d |
Isogeny class |
Conductor |
76700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
212544 |
Modular degree for the optimal curve |
Δ |
-83435218750000 = -1 · 24 · 59 · 13 · 593 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 -3 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6033,477062] |
[a1,a2,a3,a4,a6] |
Generators |
[1074:14750:27] |
Generators of the group modulo torsion |
j |
-97152876544/333740875 |
j-invariant |
L |
9.0330056888632 |
L(r)(E,1)/r! |
Ω |
0.53219003327433 |
Real period |
R |
1.4144392547359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000392 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15340c1 |
Quadratic twists by: 5 |