Atkin-Lehner |
2+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
806b |
Isogeny class |
Conductor |
806 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
176 |
Modular degree for the optimal curve |
Δ |
-25585664 = -1 · 211 · 13 · 312 |
Discriminant |
Eigenvalues |
2+ -1 -1 1 2 13+ 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,52,-176] |
[a1,a2,a3,a4,a6] |
Generators |
[5:13:1] |
Generators of the group modulo torsion |
j |
15087533111/25585664 |
j-invariant |
L |
1.4834831912095 |
L(r)(E,1)/r! |
Ω |
1.1144535358649 |
Real period |
R |
0.66556529432078 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6448f1 25792p1 7254m1 20150m1 |
Quadratic twists by: -4 8 -3 5 |