Atkin-Lehner |
2- 3+ 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
43050bn |
Isogeny class |
Conductor |
43050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2225228811257812500 = 22 · 310 · 59 · 76 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -6 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-326388,-442719] |
[a1,a2,a3,a4,a6] |
Generators |
[-3218:66579:8] |
Generators of the group modulo torsion |
j |
1968775995301037/1139317151364 |
j-invariant |
L |
7.0118340793678 |
L(r)(E,1)/r! |
Ω |
0.21927762460479 |
Real period |
R |
7.9942425635042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129150bv2 43050bc2 |
Quadratic twists by: -3 5 |