Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53550cp |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-1687527843750000 = -1 · 24 · 33 · 59 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-30980,2890647] |
[a1,a2,a3,a4,a6] |
Generators |
[59:1095:1] |
Generators of the group modulo torsion |
j |
-7794190562283/4000066000 |
j-invariant |
L |
9.3915806993714 |
L(r)(E,1)/r! |
Ω |
0.44014385696638 |
Real period |
R |
1.3335953334679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000098 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53550a3 10710e1 |
Quadratic twists by: -3 5 |