Atkin-Lehner |
2- 3+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
99264bl |
Isogeny class |
Conductor |
99264 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
838582272 = 214 · 32 · 112 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11+ 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9009,332145] |
[a1,a2,a3,a4,a6] |
Generators |
[57:-24:1] |
Generators of the group modulo torsion |
j |
4936074881488/51183 |
j-invariant |
L |
3.2249013533082 |
L(r)(E,1)/r! |
Ω |
1.4338269944149 |
Real period |
R |
0.56228913179962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030843 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99264u2 24816y2 |
Quadratic twists by: -4 8 |