Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53550dy |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-33728788800 = -1 · 26 · 311 · 52 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 0 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-410,9497] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-89:1] |
Generators of the group modulo torsion |
j |
-417267265/1850688 |
j-invariant |
L |
10.55723544943 |
L(r)(E,1)/r! |
Ω |
1.0133916086603 |
Real period |
R |
0.43407188951501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17850t1 53550cd1 |
Quadratic twists by: -3 5 |