Atkin-Lehner |
2+ 3- 5- 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
118170l |
Isogeny class |
Conductor |
118170 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
281600 |
Modular degree for the optimal curve |
Δ |
-5733873100800 = -1 · 211 · 38 · 52 · 132 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 4 13- 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2691,-102587] |
[a1,a2,a3,a4,a6] |
j |
2955605685551/7865395200 |
j-invariant |
L |
3.1268207875321 |
L(r)(E,1)/r! |
Ω |
0.39085263843217 |
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 |
39390m1 |
Quadratic twists by: -3 |