Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
75690p |
Isogeny class |
Conductor |
75690 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
5.601479194346E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -6 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3968907489,96240755781373] |
[a1,a2,a3,a4,a6] |
Generators |
[36359:-14395:1] |
Generators of the group modulo torsion |
j |
15944875212653044225849/1291776000000 |
j-invariant |
L |
4.2135049856072 |
L(r)(E,1)/r! |
Ω |
0.070342939452699 |
Real period |
R |
2.4958113643852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002468 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25230o4 2610m4 |
Quadratic twists by: -3 29 |