Atkin-Lehner |
2+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
38720o |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-321958994845368320 = -1 · 242 · 5 · 114 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 11- 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,154719,13969441] |
[a1,a2,a3,a4,a6] |
j |
106718863559/83886080 |
j-invariant |
L |
1.1772776558604 |
L(r)(E,1)/r! |
Ω |
0.19621294263802 |
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 |
38720bv2 1210e2 38720n2 |
Quadratic twists by: -4 8 -11 |