Atkin-Lehner |
2- 3- 5- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
118440ci |
Isogeny class |
Conductor |
118440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
707012893440000 = 211 · 36 · 54 · 73 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-128187,-17618634] |
[a1,a2,a3,a4,a6] |
Generators |
[3618:32895:8] |
Generators of the group modulo torsion |
j |
156026433972978/473554375 |
j-invariant |
L |
6.8421073276071 |
L(r)(E,1)/r! |
Ω |
0.25235841934098 |
Real period |
R |
6.7781643802564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998998375 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13160a2 |
Quadratic twists by: -3 |