Atkin-Lehner |
2- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
21424p |
Isogeny class |
Conductor |
21424 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
60160445775872 = 225 · 132 · 1032 |
Discriminant |
Eigenvalues |
2- -2 0 0 2 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-118139528,494204115700] |
[a1,a2,a3,a4,a6] |
Generators |
[252868:19106191:64] |
Generators of the group modulo torsion |
j |
44519416343554864920351625/14687608832 |
j-invariant |
L |
3.7675417795757 |
L(r)(E,1)/r! |
Ω |
0.25980790643738 |
Real period |
R |
7.2506295732839 |
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 |
2678f2 85696bm2 |
Quadratic twists by: -4 8 |