Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360hq |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-428569141862400 = -1 · 213 · 3 · 52 · 78 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,18800,94100] |
[a1,a2,a3,a4,a6] |
Generators |
[58:1176:1] |
Generators of the group modulo torsion |
j |
1524845951/889350 |
j-invariant |
L |
8.4072297859748 |
L(r)(E,1)/r! |
Ω |
0.32019546908521 |
Real period |
R |
1.6410346397627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000101999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170bt2 18480bw2 |
Quadratic twists by: -4 -7 |