Atkin-Lehner |
2+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
30784i |
Isogeny class |
Conductor |
30784 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1732221736321024 = -1 · 218 · 136 · 372 |
Discriminant |
Eigenvalues |
2+ 0 2 2 2 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-108044,13815280] |
[a1,a2,a3,a4,a6] |
Generators |
[270:2080:1] |
Generators of the group modulo torsion |
j |
-532090803662937/6607901521 |
j-invariant |
L |
6.8243284680351 |
L(r)(E,1)/r! |
Ω |
0.47346412823092 |
Real period |
R |
1.2011343734273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30784p2 481a2 |
Quadratic twists by: -4 8 |