Atkin-Lehner |
2+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
44890d |
Isogeny class |
Conductor |
44890 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
359040 |
Modular degree for the optimal curve |
Δ |
-969713856851680 = -1 · 25 · 5 · 677 |
Discriminant |
Eigenvalues |
2+ 0 5- 5 3 -6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-56954,-5427692] |
[a1,a2,a3,a4,a6] |
Generators |
[1449247779:16269613480:4173281] |
Generators of the group modulo torsion |
j |
-225866529/10720 |
j-invariant |
L |
5.0385732666252 |
L(r)(E,1)/r! |
Ω |
0.15409443906657 |
Real period |
R |
16.348978253656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
670c1 |
Quadratic twists by: -67 |