Atkin-Lehner |
2+ 5+ 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
78320c |
Isogeny class |
Conductor |
78320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
76675280 = 24 · 5 · 112 · 892 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 11+ 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-231,-1210] |
[a1,a2,a3,a4,a6] |
Generators |
[-29910:26704:3375] |
Generators of the group modulo torsion |
j |
85569378304/4792205 |
j-invariant |
L |
9.3844385610191 |
L(r)(E,1)/r! |
Ω |
1.228440158785 |
Real period |
R |
7.6393127454955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988642 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39160l1 |
Quadratic twists by: -4 |