Atkin-Lehner |
2+ 3+ 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
44850h |
Isogeny class |
Conductor |
44850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-13096558800 = -1 · 24 · 32 · 52 · 13 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 5 3 13- 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3490,-81020] |
[a1,a2,a3,a4,a6] |
j |
-188128419456145/523862352 |
j-invariant |
L |
2.4840741459287 |
L(r)(E,1)/r! |
Ω |
0.31050926826234 |
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 |
44850ci1 |
Quadratic twists by: 5 |