Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
40362be |
Isogeny class |
Conductor |
40362 |
Conductor |
∏ cp |
33 |
Product of Tamagawa factors cp |
deg |
1350360 |
Modular degree for the optimal curve |
Δ |
-330130239644362752 = -1 · 211 · 33 · 7 · 318 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 4 -1 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-793806,273553668] |
[a1,a2,a3,a4,a6] |
j |
-64859459809/387072 |
j-invariant |
L |
10.105172332122 |
L(r)(E,1)/r! |
Ω |
0.30621734339992 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121086m1 40362z1 |
Quadratic twists by: -3 -31 |