Atkin-Lehner |
2- 3+ 5- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
15990q |
Isogeny class |
Conductor |
15990 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
89967275668685610 = 2 · 38 · 5 · 138 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-137850,-13467075] |
[a1,a2,a3,a4,a6] |
Generators |
[-1810:20827:8] |
Generators of the group modulo torsion |
j |
289697148439778570401/89967275668685610 |
j-invariant |
L |
6.5210953403636 |
L(r)(E,1)/r! |
Ω |
0.25379053879674 |
Real period |
R |
3.2118491154561 |
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 |
127920ci6 47970i6 79950t6 |
Quadratic twists by: -4 -3 5 |