Atkin-Lehner |
3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
38115l |
Isogeny class |
Conductor |
38115 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.1490764510554E+25 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11- -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-23726610,169055623611] |
[a1,a2,a3,a4,a6] |
Generators |
[21895166046:24426672620277:17576] |
Generators of the group modulo torsion |
j |
-1143792273008057401/8897444448004035 |
j-invariant |
L |
4.7828705298128 |
L(r)(E,1)/r! |
Ω |
0.06145991505404 |
Real period |
R |
19.455243818699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12705o4 3465l4 |
Quadratic twists by: -3 -11 |