Atkin-Lehner |
2+ 3- 5+ 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
97110w |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
137216 |
Modular degree for the optimal curve |
Δ |
-138251234160 = -1 · 24 · 36 · 5 · 134 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1950,-37180] |
[a1,a2,a3,a4,a6] |
j |
-1125188511201/189645040 |
j-invariant |
L |
1.4237173899376 |
L(r)(E,1)/r! |
Ω |
0.35592938199347 |
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 |
10790i1 |
Quadratic twists by: -3 |