Atkin-Lehner |
2- 5+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
42160q |
Isogeny class |
Conductor |
42160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
591360 |
Modular degree for the optimal curve |
Δ |
-9578791728885760 = -1 · 212 · 5 · 17 · 317 |
Discriminant |
Eigenvalues |
2- -2 5+ -5 5 -5 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-118456,-16423020] |
[a1,a2,a3,a4,a6] |
Generators |
[454:4856:1] |
Generators of the group modulo torsion |
j |
-44878529736708409/2338572199435 |
j-invariant |
L |
2.6160427975698 |
L(r)(E,1)/r! |
Ω |
0.12828173956502 |
Real period |
R |
5.0982369089452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999749 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2635c1 |
Quadratic twists by: -4 |