Atkin-Lehner |
2- 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
1742a |
Isogeny class |
Conductor |
1742 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
360 |
Modular degree for the optimal curve |
Δ |
-1867424 = -1 · 25 · 13 · 672 |
Discriminant |
Eigenvalues |
2- -1 3 -3 -4 13- 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-39,-131] |
[a1,a2,a3,a4,a6] |
Generators |
[17:58:1] |
Generators of the group modulo torsion |
j |
-6570725617/1867424 |
j-invariant |
L |
3.7262329759553 |
L(r)(E,1)/r! |
Ω |
0.94123392183566 |
Real period |
R |
0.39588808791423 |
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 |
13936c1 55744d1 15678f1 43550c1 |
Quadratic twists by: -4 8 -3 5 |