Atkin-Lehner |
2+ 3- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
14022b |
Isogeny class |
Conductor |
14022 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-6029203341312 = -1 · 217 · 310 · 19 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 1 0 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6327,-225315] |
[a1,a2,a3,a4,a6] |
Generators |
[627:15243:1] |
Generators of the group modulo torsion |
j |
-38426275968625/8270512128 |
j-invariant |
L |
2.8654861831746 |
L(r)(E,1)/r! |
Ω |
0.26460385964102 |
Real period |
R |
5.4146719308292 |
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 |
112176ba1 4674g1 |
Quadratic twists by: -4 -3 |