Atkin-Lehner |
2+ 3+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
45450d |
Isogeny class |
Conductor |
45450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19456 |
Modular degree for the optimal curve |
Δ |
-170437500 = -1 · 22 · 33 · 56 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -4 -6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,108,-484] |
[a1,a2,a3,a4,a6] |
Generators |
[10:34:1] |
Generators of the group modulo torsion |
j |
328509/404 |
j-invariant |
L |
3.7620194392919 |
L(r)(E,1)/r! |
Ω |
0.96978661189447 |
Real period |
R |
1.9396119688276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45450bp1 1818h1 |
Quadratic twists by: -3 5 |