Atkin-Lehner |
3- 5+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
123975bf |
Isogeny class |
Conductor |
123975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-182010796875 = -1 · 36 · 56 · 19 · 292 |
Discriminant |
Eigenvalues |
-2 3- 5+ 1 -1 -2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-26175,-1630094] |
[a1,a2,a3,a4,a6] |
Generators |
[271:3343:1] |
Generators of the group modulo torsion |
j |
-174115016704/15979 |
j-invariant |
L |
3.6030181634649 |
L(r)(E,1)/r! |
Ω |
0.18767027707362 |
Real period |
R |
4.7996652858344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000297673 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13775e1 4959f1 |
Quadratic twists by: -3 5 |