Atkin-Lehner |
2- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
30400bf |
Isogeny class |
Conductor |
30400 |
Conductor |
∏ cp |
8 |
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] |
j |
-37966934881/4952198 |
j-invariant |
L |
2.9800829333279 |
L(r)(E,1)/r! |
Ω |
0.37251036666593 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30400l2 7600p2 1216j2 |
Quadratic twists by: -4 8 5 |