Atkin-Lehner |
2- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
10982g |
Isogeny class |
Conductor |
10982 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
77218977518623652 = 22 · 177 · 196 |
Discriminant |
Eigenvalues |
2- 2 0 -2 0 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1321603,-585187427] |
[a1,a2,a3,a4,a6] |
Generators |
[-144318:147191:216] |
Generators of the group modulo torsion |
j |
10576287595212625/3199119908 |
j-invariant |
L |
8.9098642022601 |
L(r)(E,1)/r! |
Ω |
0.14080957330761 |
Real period |
R |
5.2729986042897 |
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 |
87856k3 98838p3 646e3 |
Quadratic twists by: -4 -3 17 |