Atkin-Lehner |
2+ 3- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
59094p |
Isogeny class |
Conductor |
59094 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
2119680 |
Modular degree for the optimal curve |
Δ |
-4.6461677635047E+20 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 0 0 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3839355,3076652389] |
[a1,a2,a3,a4,a6] |
Generators |
[-138:-59963:1] |
Generators of the group modulo torsion |
j |
-3575846753501152081/265445397037056 |
j-invariant |
L |
4.0963459519311 |
L(r)(E,1)/r! |
Ω |
0.16342304349881 |
Real period |
R |
0.20888251457502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000163 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19698k1 59094ba1 |
Quadratic twists by: -3 -7 |