Atkin-Lehner |
2+ 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
69600b |
Isogeny class |
Conductor |
69600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
504600000000 = 29 · 3 · 58 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 6 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2008,-4988] |
[a1,a2,a3,a4,a6] |
Generators |
[57:250:1] |
Generators of the group modulo torsion |
j |
111980168/63075 |
j-invariant |
L |
5.9233362773001 |
L(r)(E,1)/r! |
Ω |
0.76779594370293 |
Real period |
R |
1.9286818084898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000492 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69600bo2 13920be2 |
Quadratic twists by: -4 5 |