Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
30096bk |
Isogeny class |
Conductor |
30096 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.0041104205677E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-238899,-158944142] |
[a1,a2,a3,a4,a6] |
Generators |
[13911:1639670:1] |
Generators of the group modulo torsion |
j |
-504985875929137/3362745482118 |
j-invariant |
L |
6.8197089679832 |
L(r)(E,1)/r! |
Ω |
0.09606660737272 |
Real period |
R |
8.8736725935424 |
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 |
3762d6 120384co5 10032o6 |
Quadratic twists by: -4 8 -3 |