Atkin-Lehner |
2+ 3- 5- 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
97290m |
Isogeny class |
Conductor |
97290 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
602112 |
Modular degree for the optimal curve |
Δ |
229795088400 = 24 · 312 · 52 · 23 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 4 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-147699,21885093] |
[a1,a2,a3,a4,a6] |
j |
488799218122621489/315219600 |
j-invariant |
L |
3.2808834620979 |
L(r)(E,1)/r! |
Ω |
0.82022086310134 |
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 |
32430bc1 |
Quadratic twists by: -3 |