Atkin-Lehner |
2+ 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
80600d |
Isogeny class |
Conductor |
80600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-67562144000000 = -1 · 211 · 56 · 133 · 312 |
Discriminant |
Eigenvalues |
2+ -3 5+ -3 2 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3475,-403250] |
[a1,a2,a3,a4,a6] |
j |
-145023426/2111317 |
j-invariant |
L |
0.52942490873135 |
L(r)(E,1)/r! |
Ω |
0.26471243391672 |
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 |
3224d1 |
Quadratic twists by: 5 |