Atkin-Lehner |
2- 3- 23+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
14214f |
Isogeny class |
Conductor |
14214 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
17472 |
Modular degree for the optimal curve |
Δ |
-8034435072 = -1 · 214 · 32 · 232 · 103 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -6 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-962,-12348] |
[a1,a2,a3,a4,a6] |
j |
-98463924947233/8034435072 |
j-invariant |
L |
5.9727899015202 |
L(r)(E,1)/r! |
Ω |
0.42662785010859 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113712m1 42642g1 |
Quadratic twists by: -4 -3 |