Atkin-Lehner |
2- 23- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
30544p |
Isogeny class |
Conductor |
30544 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-3220957767139328 = -1 · 218 · 236 · 83 |
Discriminant |
Eigenvalues |
2- -1 0 1 -3 -4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30088,3399920] |
[a1,a2,a3,a4,a6] |
Generators |
[148:1472:1] |
Generators of the group modulo torsion |
j |
-735458479359625/786366642368 |
j-invariant |
L |
3.7159662793228 |
L(r)(E,1)/r! |
Ω |
0.40702168137998 |
Real period |
R |
0.38040216378688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3818a2 122176bs2 |
Quadratic twists by: -4 8 |