Atkin-Lehner |
2+ 3+ 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
67650n |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
Δ |
-9.0150344339874E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 11- -4 -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4772568500,-126907119966000] |
[a1,a2,a3,a4,a6] |
Generators |
[201045:83802390:1] |
Generators of the group modulo torsion |
j |
-769414200843633584924174333761/5769622037751937537920 |
j-invariant |
L |
1.6140559123075 |
L(r)(E,1)/r! |
Ω |
0.009081996307341 |
Real period |
R |
0.8886019424711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001635 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13530z2 |
Quadratic twists by: 5 |