Atkin-Lehner |
3- 19- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
17613d |
Isogeny class |
Conductor |
17613 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-264206149029 = -1 · 39 · 194 · 103 |
Discriminant |
Eigenvalues |
1 3- 3 -2 6 -1 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10953,-439178] |
[a1,a2,a3,a4,a6] |
Generators |
[122:110:1] |
Generators of the group modulo torsion |
j |
-199350693197713/362422701 |
j-invariant |
L |
7.0857284655618 |
L(r)(E,1)/r! |
Ω |
0.233312017782 |
Real period |
R |
1.8981363810903 |
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 |
5871b1 |
Quadratic twists by: -3 |