Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520br |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
192584770560 = 210 · 310 · 5 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 6 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15627,-751606] |
[a1,a2,a3,a4,a6] |
Generators |
[829:23580:1] |
Generators of the group modulo torsion |
j |
565357377316/257985 |
j-invariant |
L |
7.968702269211 |
L(r)(E,1)/r! |
Ω |
0.42701442456988 |
Real period |
R |
4.6653589493523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000668 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32760t1 21840e1 |
Quadratic twists by: -4 -3 |