Atkin-Lehner |
2+ 3+ 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
89670f |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
276767118299750400 = 213 · 32 · 52 · 79 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-134870908,-602928784688] |
[a1,a2,a3,a4,a6] |
Generators |
[-1798511224459573:899043936112424:268211336849] |
Generators of the group modulo torsion |
j |
6723512258917296968047/6858547200 |
j-invariant |
L |
3.2726386694963 |
L(r)(E,1)/r! |
Ω |
0.04430165839265 |
Real period |
R |
18.467924178439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999902163 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89670z2 |
Quadratic twists by: -7 |