Atkin-Lehner |
3- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97461s |
Isogeny class |
Conductor |
97461 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
847872 |
Modular degree for the optimal curve |
Δ |
-3430711651808259 = -1 · 38 · 77 · 133 · 172 |
Discriminant |
Eigenvalues |
2 3- 3 7- 6 13- 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6321,-2824691] |
[a1,a2,a3,a4,a6] |
j |
-325660672/40000779 |
j-invariant |
L |
9.489939855889 |
L(r)(E,1)/r! |
Ω |
0.19770707473567 |
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 |
32487i1 13923k1 |
Quadratic twists by: -3 -7 |