Atkin-Lehner |
2- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
67280n |
Isogeny class |
Conductor |
67280 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-861184000 = -1 · 213 · 53 · 292 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 5 -3 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-203,-1798] |
[a1,a2,a3,a4,a6] |
j |
-268569/250 |
j-invariant |
L |
1.218154611025 |
L(r)(E,1)/r! |
Ω |
0.60907730643282 |
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 |
8410i1 67280s1 |
Quadratic twists by: -4 29 |