Atkin-Lehner |
2+ 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
4464i |
Isogeny class |
Conductor |
4464 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-18613927775232 = -1 · 210 · 39 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2301,-203182] |
[a1,a2,a3,a4,a6] |
Generators |
[409:8316:1] |
Generators of the group modulo torsion |
j |
1804870652/24935067 |
j-invariant |
L |
4.2317176492305 |
L(r)(E,1)/r! |
Ω |
0.3371152394527 |
Real period |
R |
3.1381832931231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2232k4 17856cf4 1488c4 111600bh3 |
Quadratic twists by: -4 8 -3 5 |