Atkin-Lehner |
2- 3+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
8778n |
Isogeny class |
Conductor |
8778 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
36960 |
Modular degree for the optimal curve |
Δ |
-15675168557664 = -1 · 25 · 33 · 72 · 117 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 11+ -6 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-35671,-2614963] |
[a1,a2,a3,a4,a6] |
j |
-5019614054242745329/15675168557664 |
j-invariant |
L |
1.7366386503725 |
L(r)(E,1)/r! |
Ω |
0.17366386503725 |
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 |
70224ck1 26334x1 61446ct1 96558g1 |
Quadratic twists by: -4 -3 -7 -11 |