Atkin-Lehner |
2+ 3- 5+ 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
97290j |
Isogeny class |
Conductor |
97290 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-6083707940113500 = -1 · 22 · 39 · 53 · 234 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 2 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-148545,-22316279] |
[a1,a2,a3,a4,a6] |
Generators |
[12180:35057:27] |
Generators of the group modulo torsion |
j |
-497246737886453521/8345278381500 |
j-invariant |
L |
5.8426454699381 |
L(r)(E,1)/r! |
Ω |
0.1214708751603 |
Real period |
R |
6.0123933444338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032669 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32430v1 |
Quadratic twists by: -3 |