Atkin-Lehner |
2+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
30400l |
Isogeny class |
Conductor |
30400 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-20284203008000000 = -1 · 219 · 56 · 195 |
Discriminant |
Eigenvalues |
2+ -1 5+ -3 -2 -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-112033,-15940063] |
[a1,a2,a3,a4,a6] |
Generators |
[392:475:1] [601:-11552:1] |
Generators of the group modulo torsion |
j |
-37966934881/4952198 |
j-invariant |
L |
6.4332582385684 |
L(r)(E,1)/r! |
Ω |
0.12953410818003 |
Real period |
R |
1.241614723905 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30400bf2 950a2 1216f2 |
Quadratic twists by: -4 8 5 |