Atkin-Lehner |
2+ 3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51150t |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
14798784 |
Modular degree for the optimal curve |
Δ |
-2.415521887365E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11+ -6 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-82723026,-290563473692] |
[a1,a2,a3,a4,a6] |
j |
-2504164954632201546708330625/9662087549460141785088 |
j-invariant |
L |
1.1010710309102 |
L(r)(E,1)/r! |
Ω |
0.025024341613972 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51150bu1 |
Quadratic twists by: 5 |