Atkin-Lehner |
2- 3- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
15708i |
Isogeny class |
Conductor |
15708 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-73471390049933568 = -1 · 28 · 34 · 76 · 116 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1369508,-617466444] |
[a1,a2,a3,a4,a6] |
Generators |
[485764:41786745:64] |
Generators of the group modulo torsion |
j |
-1109628964475955250000/286997617382553 |
j-invariant |
L |
6.1726355101091 |
L(r)(E,1)/r! |
Ω |
0.069778503424904 |
Real period |
R |
7.3717014160769 |
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 |
62832z4 47124s4 109956g4 |
Quadratic twists by: -4 -3 -7 |