Atkin-Lehner |
2- 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121380a |
Isogeny class |
Conductor |
121380 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3.8369170055003E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-780396,-2991756504] |
[a1,a2,a3,a4,a6] |
Generators |
[1961:54910:1] [749764210:-154817634431:17576] |
Generators of the group modulo torsion |
j |
-8506205668816/620938962525 |
j-invariant |
L |
9.2161483798545 |
L(r)(E,1)/r! |
Ω |
0.061545503236052 |
Real period |
R |
74.872638063998 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003619 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7140o4 |
Quadratic twists by: 17 |