Atkin-Lehner |
2+ 3- 5+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20010k |
Isogeny class |
Conductor |
20010 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
-17023122363528000 = -1 · 26 · 314 · 53 · 232 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 2 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,12276,6256522] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:2487:1] |
Generators of the group modulo torsion |
j |
204618645563149511/17023122363528000 |
j-invariant |
L |
4.0098582584644 |
L(r)(E,1)/r! |
Ω |
0.29827434544542 |
Real period |
R |
0.48012584958566 |
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 |
60030bm2 100050bk2 |
Quadratic twists by: -3 5 |