Atkin-Lehner |
3+ 5+ 37+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
40515c |
Isogeny class |
Conductor |
40515 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
17208 |
Modular degree for the optimal curve |
Δ |
-9115875 = -1 · 33 · 53 · 37 · 73 |
Discriminant |
Eigenvalues |
2 3+ 5+ 3 -3 2 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-246,1577] |
[a1,a2,a3,a4,a6] |
j |
-1653077684224/9115875 |
j-invariant |
L |
2.3223060861609 |
L(r)(E,1)/r! |
Ω |
2.3223060862854 |
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 |
121545m1 |
Quadratic twists by: -3 |