Atkin-Lehner |
2+ 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53550o |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-717322331250000 = -1 · 24 · 39 · 58 · 73 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 4 6 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-144492,-21143584] |
[a1,a2,a3,a4,a6] |
Generators |
[5775796:289927048:2197] |
Generators of the group modulo torsion |
j |
-43391581875/93296 |
j-invariant |
L |
5.260774581053 |
L(r)(E,1)/r! |
Ω |
0.12242004002658 |
Real period |
R |
10.743287169257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999892 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53550cx1 53550cs1 |
Quadratic twists by: -3 5 |