Atkin-Lehner |
2+ 7- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
10738d |
Isogeny class |
Conductor |
10738 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-509531090059264 = -1 · 221 · 7 · 132 · 593 |
Discriminant |
Eigenvalues |
2+ -2 3 7- 0 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-169117,-26804808] |
[a1,a2,a3,a4,a6] |
Generators |
[38106570:1343381393:27000] |
Generators of the group modulo torsion |
j |
-534911356816944326857/509531090059264 |
j-invariant |
L |
3.0433533916085 |
L(r)(E,1)/r! |
Ω |
0.11770590309804 |
Real period |
R |
12.927785741866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85904p2 96642ch2 75166e2 |
Quadratic twists by: -4 -3 -7 |