Atkin-Lehner |
2+ 3- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
116550bp |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2457600 |
Modular degree for the optimal curve |
Δ |
-2933452283328000000 = -1 · 212 · 314 · 56 · 7 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 -4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,37683,82346341] |
[a1,a2,a3,a4,a6] |
Generators |
[8810:822731:1] |
Generators of the group modulo torsion |
j |
519524563319/257532162048 |
j-invariant |
L |
4.6908700462327 |
L(r)(E,1)/r! |
Ω |
0.19753990917014 |
Real period |
R |
5.936610583339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999671438 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38850bz1 4662o1 |
Quadratic twists by: -3 5 |