Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
51984by |
Isogeny class |
Conductor |
51984 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-2.596487552175E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 4 3 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4835595,-4100159302] |
[a1,a2,a3,a4,a6] |
Generators |
[207658313245787645974192138729104673861618480350493:-12361081626448388778395258066513738250480936180092614:43766802600094490461249068077239086213731857883] |
Generators of the group modulo torsion |
j |
-246579625/512 |
j-invariant |
L |
8.1035769591148 |
L(r)(E,1)/r! |
Ω |
0.050898272633679 |
Real period |
R |
79.605618617327 |
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 |
6498s2 5776i2 51984cm2 |
Quadratic twists by: -4 -3 -19 |