Atkin-Lehner |
2+ 3+ 23- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
14214c |
Isogeny class |
Conductor |
14214 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4640 |
Modular degree for the optimal curve |
Δ |
-2302668 = -1 · 22 · 35 · 23 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 6 -1 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-141,-711] |
[a1,a2,a3,a4,a6] |
j |
-313461959257/2302668 |
j-invariant |
L |
1.3835788883494 |
L(r)(E,1)/r! |
Ω |
0.69178944417468 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113712q1 42642k1 |
Quadratic twists by: -4 -3 |