Atkin-Lehner |
2+ 5- 7+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
113050bd |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1115520 |
Modular degree for the optimal curve |
Δ |
-15370571487974500 = -1 · 22 · 53 · 7 · 173 · 197 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ 5 0 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,57544,-2706342] |
[a1,a2,a3,a4,a6] |
Generators |
[177:-3699:1] |
Generators of the group modulo torsion |
j |
168587235838678483/122964571903796 |
j-invariant |
L |
3.046779349709 |
L(r)(E,1)/r! |
Ω |
0.22076210166154 |
Real period |
R |
0.49289957439509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000206992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113050cz1 |
Quadratic twists by: 5 |