Atkin-Lehner |
2+ 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
29760c |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1028505600 = 214 · 34 · 52 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 4 -4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-721,-7055] |
[a1,a2,a3,a4,a6] |
Generators |
[63:440:1] |
Generators of the group modulo torsion |
j |
2533446736/62775 |
j-invariant |
L |
5.2777336025102 |
L(r)(E,1)/r! |
Ω |
0.92261730669199 |
Real period |
R |
2.8601965106384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29760cp2 1860b2 89280cd2 |
Quadratic twists by: -4 8 -3 |