Atkin-Lehner |
2+ 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72912m |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2214560259072 = 210 · 38 · 73 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -2 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6008,-162336] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:62:1] |
Generators of the group modulo torsion |
j |
68295437500/6305121 |
j-invariant |
L |
4.8420914672806 |
L(r)(E,1)/r! |
Ω |
0.54547031150463 |
Real period |
R |
2.2192277767539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001111 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36456l2 72912r2 |
Quadratic twists by: -4 -7 |