Atkin-Lehner |
2+ 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
42194j |
Isogeny class |
Conductor |
42194 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-195105056 = -1 · 25 · 174 · 73 |
Discriminant |
Eigenvalues |
2+ 1 1 3 2 2 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1018,-12596] |
[a1,a2,a3,a4,a6] |
Generators |
[158:1864:1] |
Generators of the group modulo torsion |
j |
-1394947801/2336 |
j-invariant |
L |
6.5589322174069 |
L(r)(E,1)/r! |
Ω |
0.42261036181919 |
Real period |
R |
5.1733486366157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999939 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42194c1 |
Quadratic twists by: 17 |