Atkin-Lehner |
2+ 3- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
93456k |
Isogeny class |
Conductor |
93456 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
124294348802460672 = 210 · 39 · 116 · 592 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11+ -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-240771,42191026] |
[a1,a2,a3,a4,a6] |
Generators |
[146:3186:1] |
Generators of the group modulo torsion |
j |
2067801074938372/166503703707 |
j-invariant |
L |
5.0861129847192 |
L(r)(E,1)/r! |
Ω |
0.32283614659383 |
Real period |
R |
1.9693089860595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999776311 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46728h2 31152k2 |
Quadratic twists by: -4 -3 |