Atkin-Lehner |
2+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
99416d |
Isogeny class |
Conductor |
99416 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-4799321119408 = -1 · 24 · 178 · 43 |
Discriminant |
Eigenvalues |
2+ 2 -4 -2 -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2505,92876] |
[a1,a2,a3,a4,a6] |
j |
4499456/12427 |
j-invariant |
L |
1.0819057463703 |
L(r)(E,1)/r! |
Ω |
0.54095289102192 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5848b1 |
Quadratic twists by: 17 |