Atkin-Lehner |
2+ 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
88872l |
Isogeny class |
Conductor |
88872 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2241769324811433984 = 211 · 38 · 72 · 237 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 4 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-419144,75489456] |
[a1,a2,a3,a4,a6] |
Generators |
[-629:9522:1] |
Generators of the group modulo torsion |
j |
26860713266/7394247 |
j-invariant |
L |
5.2895143756457 |
L(r)(E,1)/r! |
Ω |
0.24211657309237 |
Real period |
R |
1.3654358484357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002333 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3864d2 |
Quadratic twists by: -23 |