Atkin-Lehner |
2+ 3- 7+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
55062j |
Isogeny class |
Conductor |
55062 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
340032 |
Modular degree for the optimal curve |
Δ |
-2519691649990956 = -1 · 22 · 36 · 711 · 19 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 0 3 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,30324,1296908] |
[a1,a2,a3,a4,a6] |
Generators |
[362:7540:1] |
Generators of the group modulo torsion |
j |
4230070364747583/3456367146764 |
j-invariant |
L |
3.4335510670654 |
L(r)(E,1)/r! |
Ω |
0.295273889668 |
Real period |
R |
5.8141799651487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999962 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6118f1 |
Quadratic twists by: -3 |