Atkin-Lehner |
2- 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72912bm |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
109361000448 = 212 · 34 · 73 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -2 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1248,6336] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:126:1] [5:14:1] |
Generators of the group modulo torsion |
j |
153130375/77841 |
j-invariant |
L |
8.9976499542171 |
L(r)(E,1)/r! |
Ω |
0.93268503845163 |
Real period |
R |
2.4117600216995 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999082 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4557k2 72912cc2 |
Quadratic twists by: -4 -7 |