Atkin-Lehner |
2- 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
12432bg |
Isogeny class |
Conductor |
12432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
463663872 = 28 · 33 · 72 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 4 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7068,231084] |
[a1,a2,a3,a4,a6] |
Generators |
[410:231:8] |
Generators of the group modulo torsion |
j |
152557939042000/1811187 |
j-invariant |
L |
4.4495378983627 |
L(r)(E,1)/r! |
Ω |
1.5122769348555 |
Real period |
R |
2.9422771688229 |
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 |
3108e2 49728ew2 37296cd2 87024di2 |
Quadratic twists by: -4 8 -3 -7 |