Atkin-Lehner |
2- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74800ci |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-53923020800 = -1 · 220 · 52 · 112 · 17 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 11- 3 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1088,-17408] |
[a1,a2,a3,a4,a6] |
j |
-1392225385/526592 |
j-invariant |
L |
1.6317064129066 |
L(r)(E,1)/r! |
Ω |
0.40792659705051 |
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 |
9350x1 74800da1 |
Quadratic twists by: -4 5 |