Atkin-Lehner |
2- 3+ 5+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
28470k |
Isogeny class |
Conductor |
28470 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
531615071520 = 25 · 32 · 5 · 13 · 734 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-99951,-12204267] |
[a1,a2,a3,a4,a6] |
Generators |
[-183:98:1] |
Generators of the group modulo torsion |
j |
110429578458699950449/531615071520 |
j-invariant |
L |
6.3083149809277 |
L(r)(E,1)/r! |
Ω |
0.26850530555634 |
Real period |
R |
2.3494191177552 |
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 |
85410l4 |
Quadratic twists by: -3 |