Atkin-Lehner |
2- 3- 31+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
15438n |
Isogeny class |
Conductor |
15438 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
2223072 = 25 · 33 · 31 · 83 |
Discriminant |
Eigenvalues |
2- 3- -2 2 -3 -4 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-229,1313] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-1:1] |
Generators of the group modulo torsion |
j |
1328460616657/2223072 |
j-invariant |
L |
7.9998504588441 |
L(r)(E,1)/r! |
Ω |
2.5979242039803 |
Real period |
R |
0.20528826942135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123504be1 46314k1 |
Quadratic twists by: -4 -3 |