Atkin-Lehner |
2+ 3- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8778j |
Isogeny class |
Conductor |
8778 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
15706900992552 = 23 · 3 · 73 · 114 · 194 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-642798472,6272730918734] |
[a1,a2,a3,a4,a6] |
Generators |
[395616:-114665:27] |
Generators of the group modulo torsion |
j |
29372994119520171951153469478137/15706900992552 |
j-invariant |
L |
3.4227441431572 |
L(r)(E,1)/r! |
Ω |
0.20077025508617 |
Real period |
R |
5.682687975348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70224bq4 26334bs4 61446i4 96558cv4 |
Quadratic twists by: -4 -3 -7 -11 |