Atkin-Lehner |
2+ 3+ 5+ 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
40470i |
Isogeny class |
Conductor |
40470 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-1102086085017600 = -1 · 218 · 38 · 52 · 192 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -4 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6508,1607248] |
[a1,a2,a3,a4,a6] |
j |
-30490925731433929/1102086085017600 |
j-invariant |
L |
1.6318636448922 |
L(r)(E,1)/r! |
Ω |
0.40796591118667 |
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 |
121410bs1 |
Quadratic twists by: -3 |