Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
14700t |
Isogeny class |
Conductor |
14700 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-30870000 = -1 · 24 · 32 · 54 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -3 -6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-58,337] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:15:1] [-2:21:1] |
Generators of the group modulo torsion |
j |
-6400/9 |
j-invariant |
L |
5.7797050752175 |
L(r)(E,1)/r! |
Ω |
1.8789727206941 |
Real period |
R |
0.085444222490448 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58800jx1 44100dg1 14700bi1 14700bt1 |
Quadratic twists by: -4 -3 5 -7 |