Atkin-Lehner |
2- 3- 7+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
74214p |
Isogeny class |
Conductor |
74214 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
592054459753365504 = 216 · 312 · 72 · 192 · 312 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3166601,-2167785079] |
[a1,a2,a3,a4,a6] |
Generators |
[-1023:1024:1] |
Generators of the group modulo torsion |
j |
4816993818202465870153/812146035326976 |
j-invariant |
L |
8.3277400502769 |
L(r)(E,1)/r! |
Ω |
0.11317633422266 |
Real period |
R |
2.2994372306634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001136 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24738b2 |
Quadratic twists by: -3 |