Atkin-Lehner |
2- 3+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
96432bu |
Isogeny class |
Conductor |
96432 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
357235402051584 = 212 · 32 · 78 · 412 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32944,-2103296] |
[a1,a2,a3,a4,a6] |
Generators |
[-120:328:1] [210:442:1] |
Generators of the group modulo torsion |
j |
8205738913/741321 |
j-invariant |
L |
8.4919419248491 |
L(r)(E,1)/r! |
Ω |
0.35641501761552 |
Real period |
R |
5.9564983971614 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000288 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6027h2 13776o2 |
Quadratic twists by: -4 -7 |