Atkin-Lehner |
2+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78650i |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-1839634615457031250 = -1 · 2 · 59 · 118 · 133 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 11- 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,291850,-23871250] |
[a1,a2,a3,a4,a6] |
j |
820803071/549250 |
j-invariant |
L |
2.7006600723053 |
L(r)(E,1)/r! |
Ω |
0.15003667054717 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15730w2 78650cl2 |
Quadratic twists by: 5 -11 |