Atkin-Lehner |
2+ 3+ 5+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
100650b |
Isogeny class |
Conductor |
100650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10644480 |
Modular degree for the optimal curve |
Δ |
-8023294620000000000 = -1 · 211 · 34 · 510 · 113 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11+ -1 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-201235950,1098685336500] |
[a1,a2,a3,a4,a6] |
j |
-92286967813735961799025/821585369088 |
j-invariant |
L |
0.64930757242479 |
L(r)(E,1)/r! |
Ω |
0.16232687472892 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100650cn1 |
Quadratic twists by: 5 |