Atkin-Lehner |
2- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22540a |
Isogeny class |
Conductor |
22540 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
33480 |
Modular degree for the optimal curve |
Δ |
-1460648350000 = -1 · 24 · 55 · 74 · 233 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -2 6 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1568,-62867] |
[a1,a2,a3,a4,a6] |
j |
-11098128384/38021875 |
j-invariant |
L |
0.34861577109624 |
L(r)(E,1)/r! |
Ω |
0.34861577109628 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90160bm1 112700c1 22540m1 |
Quadratic twists by: -4 5 -7 |