Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33800u |
Isogeny class |
Conductor |
33800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-326292288400000000 = -1 · 210 · 58 · 138 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 -2 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1408,-27483312] |
[a1,a2,a3,a4,a6] |
Generators |
[472:8788:1] [1528:59500:1] |
Generators of the group modulo torsion |
j |
-4/4225 |
j-invariant |
L |
6.2874106906915 |
L(r)(E,1)/r! |
Ω |
0.13958298796243 |
Real period |
R |
5.6305309680559 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67600m2 6760c2 2600a2 |
Quadratic twists by: -4 5 13 |