Atkin-Lehner |
2+ 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
41200w |
Isogeny class |
Conductor |
41200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-10300000000 = -1 · 28 · 58 · 103 |
Discriminant |
Eigenvalues |
2+ -2 5- 5 -2 -5 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,292,4588] |
[a1,a2,a3,a4,a6] |
Generators |
[2:72:1] |
Generators of the group modulo torsion |
j |
27440/103 |
j-invariant |
L |
4.7785231270494 |
L(r)(E,1)/r! |
Ω |
0.9146509467229 |
Real period |
R |
2.6122113272687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999922 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20600h1 41200f1 |
Quadratic twists by: -4 5 |