Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200v |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.5676171875E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21533408,-38448812688] |
[a1,a2,a3,a4,a6] |
Generators |
[-2687:2044:1] |
Generators of the group modulo torsion |
j |
69014771940559650916/9797607421875 |
j-invariant |
L |
4.3224089749172 |
L(r)(E,1)/r! |
Ω |
0.070084997192911 |
Real period |
R |
5.1394843633827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020241 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54600ce4 21840l4 |
Quadratic twists by: -4 5 |