Atkin-Lehner |
2+ 3+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
59826g |
Isogeny class |
Conductor |
59826 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
336960 |
Modular degree for the optimal curve |
Δ |
-22523956668252 = -1 · 22 · 32 · 139 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -4 4 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1693,-230615] |
[a1,a2,a3,a4,a6] |
Generators |
[9145:870010:1] |
Generators of the group modulo torsion |
j |
-50653/2124 |
j-invariant |
L |
5.0803547420251 |
L(r)(E,1)/r! |
Ω |
0.29619439161947 |
Real period |
R |
8.5760481726149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000101 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59826q1 |
Quadratic twists by: 13 |