Atkin-Lehner |
2- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
89780c |
Isogeny class |
Conductor |
89780 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
376992 |
Modular degree for the optimal curve |
Δ |
-484856928425840 = -1 · 24 · 5 · 677 |
Discriminant |
Eigenvalues |
2- -1 5- -1 6 -2 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28430,-2118143] |
[a1,a2,a3,a4,a6] |
j |
-1755904/335 |
j-invariant |
L |
2.1834553125456 |
L(r)(E,1)/r! |
Ω |
0.1819546146082 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1340c1 |
Quadratic twists by: -67 |