Atkin-Lehner |
2+ 3+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
48216d |
Isogeny class |
Conductor |
48216 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
577024 |
Modular degree for the optimal curve |
Δ |
-3705228163961856 = -1 · 210 · 37 · 79 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- -6 -5 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-777352,264075484] |
[a1,a2,a3,a4,a6] |
Generators |
[474:1372:1] |
Generators of the group modulo torsion |
j |
-1257173201596/89667 |
j-invariant |
L |
2.0440574022012 |
L(r)(E,1)/r! |
Ω |
0.42110440920038 |
Real period |
R |
1.2135098549873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000138 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96432s1 48216h1 |
Quadratic twists by: -4 -7 |