Atkin-Lehner |
2- 3- 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
63210ct |
Isogeny class |
Conductor |
63210 |
Conductor |
∏ cp |
1680 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-611785522059264000 = -1 · 214 · 310 · 53 · 76 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-502545,142151337] |
[a1,a2,a3,a4,a6] |
Generators |
[1194:-35877:1] |
Generators of the group modulo torsion |
j |
-119305480789133569/5200091136000 |
j-invariant |
L |
11.743014278469 |
L(r)(E,1)/r! |
Ω |
0.28671488961923 |
Real period |
R |
0.097516936923225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999749 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1290k1 |
Quadratic twists by: -7 |