Atkin-Lehner |
3- 5+ 7+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
100485g |
Isogeny class |
Conductor |
100485 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-8868136720076865 = -1 · 39 · 5 · 710 · 11 · 29 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11+ -1 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,33480,3860541] |
[a1,a2,a3,a4,a6] |
j |
5693053107530879/12164796598185 |
j-invariant |
L |
2.2832455951594 |
L(r)(E,1)/r! |
Ω |
0.28540566016537 |
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 |
33495o1 |
Quadratic twists by: -3 |