Atkin-Lehner |
2+ 3+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
99264n |
Isogeny class |
Conductor |
99264 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.8215180037754E+22 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11- 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7414049,-4264962975] |
[a1,a2,a3,a4,a6] |
Generators |
[15189163519860388904:970088054629492417779:2735130772977049] |
Generators of the group modulo torsion |
j |
1375435380957998193224/555883179863097339 |
j-invariant |
L |
4.3460591396213 |
L(r)(E,1)/r! |
Ω |
0.094766112636628 |
Real period |
R |
22.930449559619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001857 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99264p4 49632c3 |
Quadratic twists by: -4 8 |