Atkin-Lehner |
2+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
113600u |
Isogeny class |
Conductor |
113600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
258099200000000 = 217 · 58 · 712 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 2 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-104300,12942000] |
[a1,a2,a3,a4,a6] |
j |
61269831378/126025 |
j-invariant |
L |
2.2145944891804 |
L(r)(E,1)/r! |
Ω |
0.55364875761781 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113600bw2 14200e2 22720s2 |
Quadratic twists by: -4 8 5 |