Atkin-Lehner |
2+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
59290bj |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-153459002620 = -1 · 22 · 5 · 78 · 113 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 11+ 6 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2459,-49967] |
[a1,a2,a3,a4,a6] |
Generators |
[69:290:1] |
Generators of the group modulo torsion |
j |
-10503459/980 |
j-invariant |
L |
4.5648946887676 |
L(r)(E,1)/r! |
Ω |
0.33718826142247 |
Real period |
R |
3.384529661429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993155 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8470b1 59290dw1 |
Quadratic twists by: -7 -11 |