Atkin-Lehner |
2- 3- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9918m |
Isogeny class |
Conductor |
9918 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4480 |
Modular degree for the optimal curve |
Δ |
-1756943946 = -1 · 2 · 313 · 19 · 29 |
Discriminant |
Eigenvalues |
2- 3- 1 2 -3 -1 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,13,2013] |
[a1,a2,a3,a4,a6] |
Generators |
[94:435:8] |
Generators of the group modulo torsion |
j |
357911/2410074 |
j-invariant |
L |
7.1877672268547 |
L(r)(E,1)/r! |
Ω |
1.1733417203149 |
Real period |
R |
1.531473547392 |
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 |
79344bp1 3306a1 |
Quadratic twists by: -4 -3 |