Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
64400bt |
Isogeny class |
Conductor |
64400 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-159324981760000000 = -1 · 215 · 57 · 76 · 232 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,19592,-19168812] |
[a1,a2,a3,a4,a6] |
Generators |
[278:2800:1] |
Generators of the group modulo torsion |
j |
12994449551/2489452840 |
j-invariant |
L |
4.5860405481942 |
L(r)(E,1)/r! |
Ω |
0.15257293910165 |
Real period |
R |
0.62620876270255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000416 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8050g2 12880n2 |
Quadratic twists by: -4 5 |