Atkin-Lehner |
2+ 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
29760d |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
119964893184000000 = 222 · 310 · 56 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 4 4 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-128801,-6191199] |
[a1,a2,a3,a4,a6] |
Generators |
[35427:1232000:27] |
Generators of the group modulo torsion |
j |
901456690969801/457629750000 |
j-invariant |
L |
4.5922994623958 |
L(r)(E,1)/r! |
Ω |
0.26593838794258 |
Real period |
R |
4.3170708617173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29760cn2 930h2 89280ch2 |
Quadratic twists by: -4 8 -3 |