Atkin-Lehner |
2- 3- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
75888t |
Isogeny class |
Conductor |
75888 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-903801264624 = -1 · 24 · 38 · 172 · 313 |
Discriminant |
Eigenvalues |
2- 3- -1 3 2 -2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,267,-45709] |
[a1,a2,a3,a4,a6] |
Generators |
[2212:4437:64] |
Generators of the group modulo torsion |
j |
180472064/77486391 |
j-invariant |
L |
7.25026329055 |
L(r)(E,1)/r! |
Ω |
0.41481277704519 |
Real period |
R |
4.3695997871835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001875 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18972c1 25296k1 |
Quadratic twists by: -4 -3 |