Atkin-Lehner |
3+ 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
109989c |
Isogeny class |
Conductor |
109989 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
78582537501375897 = 33 · 1111 · 1012 |
Discriminant |
Eigenvalues |
1 3+ 0 -2 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1205727,-509110992] |
[a1,a2,a3,a4,a6] |
Generators |
[1969213540126637484:51463690247230229706:1203090330281293] |
Generators of the group modulo torsion |
j |
4052761047637875/1642881251 |
j-invariant |
L |
8.0480997264938 |
L(r)(E,1)/r! |
Ω |
0.14407806163306 |
Real period |
R |
27.929650348743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999475925 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109989a1 9999a1 |
Quadratic twists by: -3 -11 |