Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
13650cv |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
-1.6512517830558E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3534037,-5628599583] |
[a1,a2,a3,a4,a6] |
Generators |
[2212:112969:1] |
Generators of the group modulo torsion |
j |
312404265277724598551/1056801141155738160 |
j-invariant |
L |
8.4768865705713 |
L(r)(E,1)/r! |
Ω |
0.063040723605259 |
Real period |
R |
0.70034809823644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200di3 40950bs3 2730a4 95550gw3 |
Quadratic twists by: -4 -3 5 -7 |