Atkin-Lehner |
3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
4263a |
Isogeny class |
Conductor |
4263 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
7056 |
Modular degree for the optimal curve |
Δ |
121873657941 = 36 · 78 · 29 |
Discriminant |
Eigenvalues |
-2 3+ -1 7+ 2 7 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1486,14790] |
[a1,a2,a3,a4,a6] |
Generators |
[82:-662:1] |
Generators of the group modulo torsion |
j |
62992384/21141 |
j-invariant |
L |
1.6160848244572 |
L(r)(E,1)/r! |
Ω |
0.96375270444416 |
Real period |
R |
0.27947778460266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68208cd1 12789d1 106575bs1 4263d1 |
Quadratic twists by: -4 -3 5 -7 |