Atkin-Lehner |
2- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
26320g |
Isogeny class |
Conductor |
26320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1444441600000000 = -1 · 215 · 58 · 74 · 47 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,21877,-1338822] |
[a1,a2,a3,a4,a6] |
Generators |
[117:1680:1] |
Generators of the group modulo torsion |
j |
282700817634591/352646875000 |
j-invariant |
L |
4.1998259016757 |
L(r)(E,1)/r! |
Ω |
0.25640383966715 |
Real period |
R |
2.0474663655231 |
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 |
3290f4 105280bg3 |
Quadratic twists by: -4 8 |