Atkin-Lehner |
2- 5- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
85400be |
Isogeny class |
Conductor |
85400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
194560 |
Modular degree for the optimal curve |
Δ |
73230500000000 = 28 · 59 · 74 · 61 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 4 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10708,-114912] |
[a1,a2,a3,a4,a6] |
Generators |
[-88:392:1] |
Generators of the group modulo torsion |
j |
271593488/146461 |
j-invariant |
L |
4.465036499319 |
L(r)(E,1)/r! |
Ω |
0.49984238920615 |
Real period |
R |
2.2332222106943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999946972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85400l1 |
Quadratic twists by: 5 |