Atkin-Lehner |
2+ 3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97650bn |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
-51949271164218750 = -1 · 2 · 313 · 57 · 7 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 -1 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-197667,35608491] |
[a1,a2,a3,a4,a6] |
Generators |
[39:5268:1] |
Generators of the group modulo torsion |
j |
-74985951512809/4560704190 |
j-invariant |
L |
4.6574616792986 |
L(r)(E,1)/r! |
Ω |
0.35015936925323 |
Real period |
R |
3.3252442210931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006473 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32550ci1 19530ca1 |
Quadratic twists by: -3 5 |