Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600dr |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-166791467520000000 = -1 · 215 · 37 · 57 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -3 -2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1881075,-993212750] |
[a1,a2,a3,a4,a6] |
Generators |
[7385:622800:1] |
Generators of the group modulo torsion |
j |
-15777367606441/3574920 |
j-invariant |
L |
4.5323894735408 |
L(r)(E,1)/r! |
Ω |
0.064455818495083 |
Real period |
R |
4.394860677634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981484 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13950t2 37200cr2 22320bf2 |
Quadratic twists by: -4 -3 5 |