Atkin-Lehner |
2+ 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
126400j |
Isogeny class |
Conductor |
126400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-15385281995000000 = -1 · 26 · 57 · 795 |
Discriminant |
Eigenvalues |
2+ -1 5+ -3 3 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,29967,-5633813] |
[a1,a2,a3,a4,a6] |
Generators |
[200866458:11701339525:59319] |
Generators of the group modulo torsion |
j |
2976041775104/15385281995 |
j-invariant |
L |
5.4852235889777 |
L(r)(E,1)/r! |
Ω |
0.19764091890525 |
Real period |
R |
13.876740771576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999890054 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126400ca2 1975d2 25280c2 |
Quadratic twists by: -4 8 5 |