Atkin-Lehner |
3- 5+ 7- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
126945o |
Isogeny class |
Conductor |
126945 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-64166386134372795 = -1 · 36 · 5 · 76 · 136 · 31 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 6 13- -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,88152,-6859332] |
[a1,a2,a3,a4,a6] |
Generators |
[301584:711665:4096] |
Generators of the group modulo torsion |
j |
103918458040745984/88019734066355 |
j-invariant |
L |
5.831194794296 |
L(r)(E,1)/r! |
Ω |
0.19272421364807 |
Real period |
R |
7.5641697382272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000232362 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
14105e2 |
Quadratic twists by: -3 |