Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
72912cl |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
359101086203510784 = 217 · 32 · 73 · 316 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-241544,35367156] |
[a1,a2,a3,a4,a6] |
j |
1109328585347359/255601060128 |
j-invariant |
L |
2.277746074622 |
L(r)(E,1)/r! |
Ω |
0.28471826077617 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9114i2 72912bt2 |
Quadratic twists by: -4 -7 |