Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53550eg |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-22772137500000 = -1 · 25 · 37 · 58 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 0 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26555,1687947] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:1590:1] |
Generators of the group modulo torsion |
j |
-7272098185/79968 |
j-invariant |
L |
9.0361523322553 |
L(r)(E,1)/r! |
Ω |
0.6796668286944 |
Real period |
R |
0.11079144406668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17850g1 53550bl1 |
Quadratic twists by: -3 5 |