Atkin-Lehner |
2- 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
41300l |
Isogeny class |
Conductor |
41300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
71280 |
Modular degree for the optimal curve |
Δ |
41300000000 = 28 · 58 · 7 · 59 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 4 6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3333,-74537] |
[a1,a2,a3,a4,a6] |
j |
40960000/413 |
j-invariant |
L |
1.8861036520778 |
L(r)(E,1)/r! |
Ω |
0.62870121733113 |
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 |
41300i1 |
Quadratic twists by: 5 |