Atkin-Lehner |
2- 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49728do |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
484683300864 = 214 · 32 · 74 · 372 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29009,-1891791] |
[a1,a2,a3,a4,a6] |
Generators |
[239:2184:1] |
Generators of the group modulo torsion |
j |
164784750161488/29582721 |
j-invariant |
L |
4.5628130927697 |
L(r)(E,1)/r! |
Ω |
0.3658219800567 |
Real period |
R |
3.1181922776276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999402 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
49728bl2 12432t2 |
Quadratic twists by: -4 8 |