Atkin-Lehner |
2- 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72912bu |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4.6688911345585E+20 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-257233552,-1587873834560] |
[a1,a2,a3,a4,a6] |
j |
3906235026100294102657/968870113344 |
j-invariant |
L |
2.4126683542778 |
L(r)(E,1)/r! |
Ω |
0.037697943337154 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9114y4 10416bl4 |
Quadratic twists by: -4 -7 |