Atkin-Lehner |
2- 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38976bj |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7812661248 = 214 · 34 · 7 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -2 2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-497,-207] |
[a1,a2,a3,a4,a6] |
Generators |
[41:216:1] |
Generators of the group modulo torsion |
j |
830321872/476847 |
j-invariant |
L |
6.3225910748308 |
L(r)(E,1)/r! |
Ω |
1.0982441828708 |
Real period |
R |
1.4392498438521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38976p2 9744w2 116928ew2 |
Quadratic twists by: -4 8 -3 |