Atkin-Lehner |
2+ 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83520x |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5650228224000000 = -1 · 216 · 38 · 56 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36588,4509488] |
[a1,a2,a3,a4,a6] |
Generators |
[-178:2320:1] [-92:2664:1] |
Generators of the group modulo torsion |
j |
-113378906596/118265625 |
j-invariant |
L |
10.139532161667 |
L(r)(E,1)/r! |
Ω |
0.38871647960859 |
Real period |
R |
3.2605808775616 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520ef2 10440ba2 27840bd2 |
Quadratic twists by: -4 8 -3 |