Atkin-Lehner |
2+ 19+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
57038b |
Isogeny class |
Conductor |
57038 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7040 |
Modular degree for the optimal curve |
Δ |
-2167444 = -1 · 22 · 193 · 79 |
Discriminant |
Eigenvalues |
2+ 0 -1 0 -4 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20,84] |
[a1,a2,a3,a4,a6] |
Generators |
[5:7:1] [2:6:1] |
Generators of the group modulo torsion |
j |
-132651/316 |
j-invariant |
L |
6.3574622229942 |
L(r)(E,1)/r! |
Ω |
2.3059655325761 |
Real period |
R |
0.68924081184062 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57038k1 |
Quadratic twists by: -19 |