Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600cl |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-25088000000000 = -1 · 218 · 59 · 72 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 6 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13008,-615488] |
[a1,a2,a3,a4,a6] |
Generators |
[282:4250:1] |
Generators of the group modulo torsion |
j |
-77626969/8000 |
j-invariant |
L |
4.1676639162892 |
L(r)(E,1)/r! |
Ω |
0.22222274025606 |
Real period |
R |
2.3443054879796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2450w2 78400hr2 3920bd2 19600bt2 |
Quadratic twists by: -4 8 5 -7 |