Atkin-Lehner |
3- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
49419b |
Isogeny class |
Conductor |
49419 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-6879497467542363 = -1 · 37 · 176 · 194 |
Discriminant |
Eigenvalues |
-1 3- -2 0 0 6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,22054,-3791748] |
[a1,a2,a3,a4,a6] |
j |
67419143/390963 |
j-invariant |
L |
0.84243424224792 |
L(r)(E,1)/r! |
Ω |
0.21060856047032 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16473a4 171a4 |
Quadratic twists by: -3 17 |