Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230t |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
7810798276512000 = 28 · 39 · 53 · 7 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-541800,153576000] |
[a1,a2,a3,a4,a6] |
Generators |
[553:4503:1] |
Generators of the group modulo torsion |
j |
13619385906841/6048000 |
j-invariant |
L |
2.7904959793923 |
L(r)(E,1)/r! |
Ω |
0.40966149976689 |
Real period |
R |
3.4058557883335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999961135 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410ct1 630i1 |
Quadratic twists by: -3 -11 |