Atkin-Lehner |
2+ 3+ 5- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
105450p |
Isogeny class |
Conductor |
105450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
-169019478000000000 = -1 · 210 · 32 · 59 · 193 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 0 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,111425,-13602875] |
[a1,a2,a3,a4,a6] |
Generators |
[235:4945:1] |
Generators of the group modulo torsion |
j |
78331331937403/86537972736 |
j-invariant |
L |
2.2327180690209 |
L(r)(E,1)/r! |
Ω |
0.1738628739542 |
Real period |
R |
3.2104583230701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000011638 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105450cl1 |
Quadratic twists by: 5 |