Atkin-Lehner |
2+ 3+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
59094d |
Isogeny class |
Conductor |
59094 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
-11984294083942656 = -1 · 28 · 33 · 78 · 673 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ 6 -4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-431601,109371933] |
[a1,a2,a3,a4,a6] |
j |
-57124645848459/76995328 |
j-invariant |
L |
1.6028263687372 |
L(r)(E,1)/r! |
Ω |
0.40070659302741 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
59094bh2 59094k1 |
Quadratic twists by: -3 -7 |