Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53550eh |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
420 |
Product of Tamagawa factors cp |
deg |
2822400 |
Modular degree for the optimal curve |
Δ |
-6.5148469456483E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 3 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-532985,1237265817] |
[a1,a2,a3,a4,a6] |
Generators |
[279:-33460:1] |
Generators of the group modulo torsion |
j |
-183751277422644413/7149351929380864 |
j-invariant |
L |
9.4797332226988 |
L(r)(E,1)/r! |
Ω |
0.13463804563594 |
Real period |
R |
0.16764053043688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999935 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5950g1 53550ch1 |
Quadratic twists by: -3 5 |