Atkin-Lehner |
2+ 3+ 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52080g |
Isogeny class |
Conductor |
52080 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
953552250000000000 = 210 · 34 · 512 · 72 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-81375000,282570164352] |
[a1,a2,a3,a4,a6] |
j |
58196486472976690429500004/931203369140625 |
j-invariant |
L |
1.1932207745426 |
L(r)(E,1)/r! |
Ω |
0.1988701291219 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
26040u4 |
Quadratic twists by: -4 |