Atkin-Lehner |
3+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
40293a |
Isogeny class |
Conductor |
40293 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
525101835919617 = 39 · 117 · 372 |
Discriminant |
Eigenvalues |
1 3+ 0 -2 11- -6 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1026042,400288103] |
[a1,a2,a3,a4,a6] |
j |
3425878546875/15059 |
j-invariant |
L |
0.91880479503029 |
L(r)(E,1)/r! |
Ω |
0.45940239749909 |
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 |
40293c1 3663a1 |
Quadratic twists by: -3 -11 |