Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
15162l |
Isogeny class |
Conductor |
15162 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2964447714414564 = 22 · 38 · 74 · 196 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-37552,-994390] |
[a1,a2,a3,a4,a6] |
Generators |
[-125:1385:1] |
Generators of the group modulo torsion |
j |
124475734657/63011844 |
j-invariant |
L |
3.0590491186812 |
L(r)(E,1)/r! |
Ω |
0.36178557742264 |
Real period |
R |
1.0569275385692 |
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 |
121296cj3 45486bh3 106134o3 42a3 |
Quadratic twists by: -4 -3 -7 -19 |