Atkin-Lehner |
2+ 5- 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
13570b |
Isogeny class |
Conductor |
13570 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
48767187500 = 22 · 58 · 232 · 59 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 4 6 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-959,4465] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:127:1] |
Generators of the group modulo torsion |
j |
97596500046921/48767187500 |
j-invariant |
L |
3.7157807822915 |
L(r)(E,1)/r! |
Ω |
1.0003128454771 |
Real period |
R |
0.46432733507977 |
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 |
108560m2 122130bq2 67850p2 |
Quadratic twists by: -4 -3 5 |