Atkin-Lehner |
2- 3+ 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
40920ba |
Isogeny class |
Conductor |
40920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
35354880 = 28 · 34 · 5 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-580,-5180] |
[a1,a2,a3,a4,a6] |
j |
84433792336/138105 |
j-invariant |
L |
1.9455967715484 |
L(r)(E,1)/r! |
Ω |
0.97279838575996 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81840bb1 122760h1 |
Quadratic twists by: -4 -3 |