Atkin-Lehner |
2- 3+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
15708d |
Isogeny class |
Conductor |
15708 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-2276057532672 = -1 · 28 · 36 · 72 · 114 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11- 6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7532,-259368] |
[a1,a2,a3,a4,a6] |
Generators |
[178:2002:1] |
Generators of the group modulo torsion |
j |
-184617276322768/8890849737 |
j-invariant |
L |
5.3186041832987 |
L(r)(E,1)/r! |
Ω |
0.25551645601497 |
Real period |
R |
1.734592840662 |
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 |
62832bl2 47124r2 109956bh2 |
Quadratic twists by: -4 -3 -7 |