Atkin-Lehner |
2- 3+ 7- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
59598p |
Isogeny class |
Conductor |
59598 |
Conductor |
∏ cp |
1188 |
Product of Tamagawa factors cp |
deg |
10720512 |
Modular degree for the optimal curve |
Δ |
2.2867207823622E+23 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11- -1 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-91664561,337031222753] |
[a1,a2,a3,a4,a6] |
Generators |
[-3753:794452:1] |
Generators of the group modulo torsion |
j |
3154745518589786805372034611/8469336230970930495488 |
j-invariant |
L |
12.94729956736 |
L(r)(E,1)/r! |
Ω |
0.099616083165968 |
Real period |
R |
0.98463621199611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000062 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
59598d2 |
Quadratic twists by: -3 |