Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
15162r |
Isogeny class |
Conductor |
15162 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
23487860080190016 = 26 · 32 · 74 · 198 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 0 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-144227,-19810879] |
[a1,a2,a3,a4,a6] |
Generators |
[46035:9853942:1] |
Generators of the group modulo torsion |
j |
7052482298233/499254336 |
j-invariant |
L |
6.9927964277356 |
L(r)(E,1)/r! |
Ω |
0.24607713924927 |
Real period |
R |
4.7361818121134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
121296df2 45486l2 106134db2 798b2 |
Quadratic twists by: -4 -3 -7 -19 |