Atkin-Lehner |
2- 3- 5- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
56070bd |
Isogeny class |
Conductor |
56070 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
174080 |
Modular degree for the optimal curve |
Δ |
-50004004700160 = -1 · 220 · 37 · 5 · 72 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,9193,-27601] |
[a1,a2,a3,a4,a6] |
Generators |
[19:382:1] |
Generators of the group modulo torsion |
j |
117872434296791/68592599040 |
j-invariant |
L |
10.926441715669 |
L(r)(E,1)/r! |
Ω |
0.37483082646725 |
Real period |
R |
1.4575164239713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999401 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18690g1 |
Quadratic twists by: -3 |