Atkin-Lehner |
2- 3+ 17- 103- |
Signs for the Atkin-Lehner involutions |
Class |
84048r |
Isogeny class |
Conductor |
84048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
2205823681953792 = 224 · 36 · 17 · 1032 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39288,-1956240] |
[a1,a2,a3,a4,a6] |
j |
1637399229189625/538531172352 |
j-invariant |
L |
1.3920874587277 |
L(r)(E,1)/r! |
Ω |
0.34802185492752 |
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 |
10506d1 |
Quadratic twists by: -4 |