Atkin-Lehner |
2+ 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
32760k |
Isogeny class |
Conductor |
32760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1679002940160000 = -1 · 211 · 38 · 54 · 7 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11517,1913182] |
[a1,a2,a3,a4,a6] |
j |
113157757438/1124589375 |
j-invariant |
L |
2.7797344957519 |
L(r)(E,1)/r! |
Ω |
0.34746681196943 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65520p3 10920u4 |
Quadratic twists by: -4 -3 |