Atkin-Lehner |
2- 3+ 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
107184bo |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-102932791129276416 = -1 · 224 · 33 · 7 · 113 · 293 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 11- 5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,13608,15419376] |
[a1,a2,a3,a4,a6] |
Generators |
[236:5632:1] |
Generators of the group modulo torsion |
j |
68032236921767/25130075959296 |
j-invariant |
L |
3.4603955691518 |
L(r)(E,1)/r! |
Ω |
0.26059068893399 |
Real period |
R |
1.1065871170634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999385606 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13398s2 |
Quadratic twists by: -4 |