Atkin-Lehner |
2+ 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
3458a |
Isogeny class |
Conductor |
3458 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-26799773141499904 = -1 · 216 · 73 · 137 · 19 |
Discriminant |
Eigenvalues |
2+ 0 -1 7+ -5 13+ -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,29605,-7635803] |
[a1,a2,a3,a4,a6] |
j |
2869529254509772791/26799773141499904 |
j-invariant |
L |
0.37119949720837 |
L(r)(E,1)/r! |
Ω |
0.18559974860418 |
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 |
27664n1 110656e1 31122y1 86450bl1 |
Quadratic twists by: -4 8 -3 5 |