Atkin-Lehner |
3- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
49419j |
Isogeny class |
Conductor |
49419 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
466754696217 = 36 · 173 · 194 |
Discriminant |
Eigenvalues |
-1 3- -4 2 -6 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1967,7310] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:180:1] |
Generators of the group modulo torsion |
j |
234885113/130321 |
j-invariant |
L |
1.6787675487137 |
L(r)(E,1)/r! |
Ω |
0.81120007011343 |
Real period |
R |
0.51737161107272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5491d2 49419i2 |
Quadratic twists by: -3 17 |