Atkin-Lehner |
2+ 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72912p |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
53801365825536 = 211 · 3 · 710 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-195232,33266080] |
[a1,a2,a3,a4,a6] |
Generators |
[357:2990:1] |
Generators of the group modulo torsion |
j |
3415550840354/223293 |
j-invariant |
L |
6.3963815154296 |
L(r)(E,1)/r! |
Ω |
0.59799780754817 |
Real period |
R |
5.3481646873496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000854 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36456z4 10416k3 |
Quadratic twists by: -4 -7 |