Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104040d |
Isogeny class |
Conductor |
104040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-22158288342000 = -1 · 24 · 33 · 53 · 177 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 5 0 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7803,348823] |
[a1,a2,a3,a4,a6] |
Generators |
[51:-289:1] |
Generators of the group modulo torsion |
j |
-5038848/2125 |
j-invariant |
L |
5.6693347816003 |
L(r)(E,1)/r! |
Ω |
0.63558980679517 |
Real period |
R |
0.55748758192951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999819588 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104040bw1 6120c1 |
Quadratic twists by: -3 17 |