Atkin-Lehner |
2- 3+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
15708d |
Isogeny class |
Conductor |
15708 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
105746256 = 24 · 33 · 7 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11- 6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7617,-253350] |
[a1,a2,a3,a4,a6] |
Generators |
[119:715:1] |
Generators of the group modulo torsion |
j |
3055009826357248/6609141 |
j-invariant |
L |
5.3186041832987 |
L(r)(E,1)/r! |
Ω |
0.51103291202994 |
Real period |
R |
3.469185681324 |
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 |
62832bl1 47124r1 109956bh1 |
Quadratic twists by: -4 -3 -7 |