Atkin-Lehner |
2- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2704j |
Isogeny class |
Conductor |
2704 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2481152873203736576 = -1 · 213 · 1313 |
Discriminant |
Eigenvalues |
2- 3 1 1 -2 13+ -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-575107,184183298] |
[a1,a2,a3,a4,a6] |
j |
-1064019559329/125497034 |
j-invariant |
L |
4.0028435166812 |
L(r)(E,1)/r! |
Ω |
0.25017771979257 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
338f2 10816bk2 24336bl2 67600cl2 |
Quadratic twists by: -4 8 -3 5 |