Atkin-Lehner |
2+ 3- 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30552f |
Isogeny class |
Conductor |
30552 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1066462288128 = 28 · 36 · 19 · 673 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 2 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30477308,64750763424] |
[a1,a2,a3,a4,a6] |
Generators |
[4246748:-474264:1331] |
Generators of the group modulo torsion |
j |
12229637184283528233250000/4165868313 |
j-invariant |
L |
6.9251587870503 |
L(r)(E,1)/r! |
Ω |
0.3642228502815 |
Real period |
R |
6.3378403100354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61104a2 91656l2 |
Quadratic twists by: -4 -3 |