Atkin-Lehner |
2- 3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
98736ce |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-45070537712124672 = -1 · 28 · 312 · 117 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 11- 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11293,-10220879] |
[a1,a2,a3,a4,a6] |
j |
-351232000/99379467 |
j-invariant |
L |
2.5731491013443 |
L(r)(E,1)/r! |
Ω |
0.16082182029164 |
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 |
24684k1 8976s1 |
Quadratic twists by: -4 -11 |