Atkin-Lehner |
3- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
49419b |
Isogeny class |
Conductor |
49419 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
1002988404657 = 37 · 176 · 19 |
Discriminant |
Eigenvalues |
-1 3- -2 0 0 6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3956,83742] |
[a1,a2,a3,a4,a6] |
j |
389017/57 |
j-invariant |
L |
0.84243424224792 |
L(r)(E,1)/r! |
Ω |
0.84243424188126 |
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 |
16473a1 171a1 |
Quadratic twists by: -3 17 |