Atkin-Lehner |
2+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
107200b |
Isogeny class |
Conductor |
107200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-167500000000000000 = -1 · 214 · 516 · 67 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 2 6 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-402800,-100348000] |
[a1,a2,a3,a4,a6] |
Generators |
[222448053107914893263113255:7465289597541922833031925075:153263259028923492832111] |
Generators of the group modulo torsion |
j |
-28232681739264/654296875 |
j-invariant |
L |
7.8514809170283 |
L(r)(E,1)/r! |
Ω |
0.094624145696275 |
Real period |
R |
41.487724191614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107200ck1 13400d1 21440m1 |
Quadratic twists by: -4 8 5 |