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 |
-198466749533407698 = -1 · 2 · 316 · 72 · 196 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,139338,-7645454] |
[a1,a2,a3,a4,a6] |
Generators |
[182:4782:1] |
Generators of the group modulo torsion |
j |
6359387729183/4218578658 |
j-invariant |
L |
3.0590491186812 |
L(r)(E,1)/r! |
Ω |
0.18089278871132 |
Real period |
R |
0.52846376928459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121296cj5 45486bh5 106134o5 42a6 |
Quadratic twists by: -4 -3 -7 -19 |