Atkin-Lehner |
2- 3+ 5+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67650by |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
-1085478827944500000 = -1 · 25 · 36 · 56 · 116 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-763138,261130031] |
[a1,a2,a3,a4,a6] |
Generators |
[229:9807:1] |
Generators of the group modulo torsion |
j |
-3145668549383265625/69470644988448 |
j-invariant |
L |
9.4936997121458 |
L(r)(E,1)/r! |
Ω |
0.27566250325156 |
Real period |
R |
0.57399293220395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997294 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2706g2 |
Quadratic twists by: 5 |