Atkin-Lehner |
2+ 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
127800ba |
Isogeny class |
Conductor |
127800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
1257743700000000 = 28 · 311 · 58 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -5 0 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33375,1611250] |
[a1,a2,a3,a4,a6] |
Generators |
[11:1116:1] |
Generators of the group modulo torsion |
j |
56397520/17253 |
j-invariant |
L |
6.1587280556046 |
L(r)(E,1)/r! |
Ω |
0.44892830539049 |
Real period |
R |
3.4296835347933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999779223 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42600bj1 127800bk1 |
Quadratic twists by: -3 5 |