Atkin-Lehner |
2- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
4592c |
Isogeny class |
Conductor |
4592 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-75235328 = -1 · 218 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 0 -4 7+ 2 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,53,-390] |
[a1,a2,a3,a4,a6] |
Generators |
[6:12:1] [7:18:1] |
Generators of the group modulo torsion |
j |
4019679/18368 |
j-invariant |
L |
3.8421361435761 |
L(r)(E,1)/r! |
Ω |
0.97758918919141 |
Real period |
R |
3.930215458658 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
574h1 18368q1 41328br1 114800bo1 |
Quadratic twists by: -4 8 -3 5 |