Atkin-Lehner |
2- 3+ 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
6630t |
Isogeny class |
Conductor |
6630 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
3044264109120 = 26 · 316 · 5 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 13- 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-377310,-89363493] |
[a1,a2,a3,a4,a6] |
Generators |
[-355:183:1] |
Generators of the group modulo torsion |
j |
5940441603429810927841/3044264109120 |
j-invariant |
L |
4.8169354006547 |
L(r)(E,1)/r! |
Ω |
0.19263046949133 |
Real period |
R |
2.0838410685905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53040db4 19890i3 33150o4 86190g4 |
Quadratic twists by: -4 -3 5 13 |