Atkin-Lehner |
2+ 43+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
5246a |
Isogeny class |
Conductor |
5246 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2176 |
Modular degree for the optimal curve |
Δ |
-28873984 = -1 · 28 · 432 · 61 |
Discriminant |
Eigenvalues |
2+ -2 -1 -3 5 -7 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4,258] |
[a1,a2,a3,a4,a6] |
Generators |
[1:15:1] [6:18:1] |
Generators of the group modulo torsion |
j |
-4826809/28873984 |
j-invariant |
L |
2.6123335297303 |
L(r)(E,1)/r! |
Ω |
1.6814540461685 |
Real period |
R |
0.38840394355195 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999897 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41968f1 47214l1 |
Quadratic twists by: -4 -3 |