Atkin-Lehner |
2+ 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550cj |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
69632 |
Modular degree for the optimal curve |
Δ |
-61940214000 = -1 · 24 · 37 · 53 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -6 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-882,15876] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:-147:1] [-186:1317:8] |
Generators of the group modulo torsion |
j |
-833237621/679728 |
j-invariant |
L |
7.0886003235963 |
L(r)(E,1)/r! |
Ω |
1.0151361156615 |
Real period |
R |
0.43643164043669 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17850ck1 53550el1 |
Quadratic twists by: -3 5 |