Atkin-Lehner |
2+ 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
41664bb |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-17657244864 = -1 · 26 · 33 · 73 · 313 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 0 -5 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4229,-104649] |
[a1,a2,a3,a4,a6] |
Generators |
[330:5859:1] |
Generators of the group modulo torsion |
j |
-130725250859008/275894451 |
j-invariant |
L |
6.1781870424154 |
L(r)(E,1)/r! |
Ω |
0.29596929571172 |
Real period |
R |
2.3193798710931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41664dh2 651e2 124992dk2 |
Quadratic twists by: -4 8 -3 |