Atkin-Lehner |
2+ 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
38976k |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
14140378054656 = 217 · 312 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35617,-2569055] |
[a1,a2,a3,a4,a6] |
Generators |
[6024:19855:27] |
Generators of the group modulo torsion |
j |
38123958498194/107882523 |
j-invariant |
L |
5.5622909506389 |
L(r)(E,1)/r! |
Ω |
0.34758263757812 |
Real period |
R |
8.0013935526185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38976br4 4872g3 116928cd4 |
Quadratic twists by: -4 8 -3 |