Atkin-Lehner |
2+ 3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64350k |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-24131250000000 = -1 · 27 · 33 · 511 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 5 11- 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-33042,2332116] |
[a1,a2,a3,a4,a6] |
j |
-9456845543523/57200000 |
j-invariant |
L |
2.7087341448394 |
L(r)(E,1)/r! |
Ω |
0.67718353744692 |
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 |
64350cr1 12870bl1 |
Quadratic twists by: -3 5 |