Atkin-Lehner |
2+ 3- 5+ 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
32430j |
Isogeny class |
Conductor |
32430 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
80416265625000000 = 26 · 32 · 512 · 233 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-136914,-13942364] |
[a1,a2,a3,a4,a6] |
Generators |
[179515:2518391:343] |
Generators of the group modulo torsion |
j |
283832896091189073049/80416265625000000 |
j-invariant |
L |
4.7845898972014 |
L(r)(E,1)/r! |
Ω |
0.25353082595969 |
Real period |
R |
9.435913520753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97290bp3 |
Quadratic twists by: -3 |