Atkin-Lehner |
3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
124215bf |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.6350641628102E+21 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4989475,-3825290890] |
[a1,a2,a3,a4,a6] |
Generators |
[-1217:21733:1] |
Generators of the group modulo torsion |
j |
24190225473961/2879296875 |
j-invariant |
L |
3.7997288086128 |
L(r)(E,1)/r! |
Ω |
0.10180093042515 |
Real period |
R |
1.166409043121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999514179 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17745q3 9555c3 |
Quadratic twists by: -7 13 |