Atkin-Lehner |
2+ 3- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
9486a |
Isogeny class |
Conductor |
9486 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5632 |
Modular degree for the optimal curve |
Δ |
-124475292 = -1 · 22 · 310 · 17 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 4 4 0 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,45,513] |
[a1,a2,a3,a4,a6] |
j |
13651919/170748 |
j-invariant |
L |
2.7460803062417 |
L(r)(E,1)/r! |
Ω |
1.3730401531208 |
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 |
75888u1 3162b1 |
Quadratic twists by: -4 -3 |