Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
38720bp |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
36281569280 = 212 · 5 · 116 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 11- -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3065,63655] |
[a1,a2,a3,a4,a6] |
Generators |
[18:121:1] |
Generators of the group modulo torsion |
j |
438976/5 |
j-invariant |
L |
2.6587633306649 |
L(r)(E,1)/r! |
Ω |
1.1623075683561 |
Real period |
R |
1.1437434475391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38720bl2 19360e1 320e2 |
Quadratic twists by: -4 8 -11 |