Atkin-Lehner |
2- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57200cc |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4631383937449984000 = -1 · 219 · 53 · 114 · 136 |
Discriminant |
Eigenvalues |
2- -2 5- 0 11+ 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-388448,139169908] |
[a1,a2,a3,a4,a6] |
Generators |
[-636:11374:1] |
Generators of the group modulo torsion |
j |
-12660578151267509/9045671752832 |
j-invariant |
L |
3.5181965935265 |
L(r)(E,1)/r! |
Ω |
0.22506018313478 |
Real period |
R |
3.9080619952999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000197 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7150v2 57200cf2 |
Quadratic twists by: -4 5 |