Atkin-Lehner |
3+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
30153c |
Isogeny class |
Conductor |
30153 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3.4714600147897E+23 |
Discriminant |
Eigenvalues |
-1 3+ 2 0 4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,17568608,478763888] |
[a1,a2,a3,a4,a6] |
Generators |
[22199241088530293260803:2041703615722059746851870:6306943268306636857] |
Generators of the group modulo torsion |
j |
4051060719646926383/2345012441401743 |
j-invariant |
L |
3.7919959555758 |
L(r)(E,1)/r! |
Ω |
0.057400581261205 |
Real period |
R |
33.03098916647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90459q5 1311a6 |
Quadratic twists by: -3 -23 |