Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54150bd |
Isogeny class |
Conductor |
54150 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
2.4269828080655E+29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2109715776,-28798258786802] |
[a1,a2,a3,a4,a6] |
Generators |
[-10603474:-894251247:343] |
Generators of the group modulo torsion |
j |
1412712966892699019449/330160465517040000 |
j-invariant |
L |
4.5251046529514 |
L(r)(E,1)/r! |
Ω |
0.022652171504603 |
Real period |
R |
9.9882359007732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997712 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10830u3 2850q4 |
Quadratic twists by: 5 -19 |