Atkin-Lehner |
3- 5+ 37- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
121545h |
Isogeny class |
Conductor |
121545 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1.0477824823714E+22 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -2 4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5470515,17779216] |
[a1,a2,a3,a4,a6] |
Generators |
[324692:25303829:64] |
Generators of the group modulo torsion |
j |
24835950107959574741039/14372873557906344375 |
j-invariant |
L |
5.9142073509473 |
L(r)(E,1)/r! |
Ω |
0.07671360252843 |
Real period |
R |
6.4245531603985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998987394 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40515f2 |
Quadratic twists by: -3 |