Atkin-Lehner |
2+ 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
46128m |
Isogeny class |
Conductor |
46128 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
159169936971389184 = 28 · 36 · 318 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-273244,-51607444] |
[a1,a2,a3,a4,a6] |
Generators |
[1726319546:57255918720:1295029] |
Generators of the group modulo torsion |
j |
9930407632/700569 |
j-invariant |
L |
6.305033612691 |
L(r)(E,1)/r! |
Ω |
0.20974333132196 |
Real period |
R |
10.020236913607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23064b2 1488c2 |
Quadratic twists by: -4 -31 |