Atkin-Lehner |
2+ 3+ 23+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
14214a |
Isogeny class |
Conductor |
14214 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
1819392 = 28 · 3 · 23 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -3 3 -1 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-30,-12] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:10:1] |
Generators of the group modulo torsion |
j |
3144219625/1819392 |
j-invariant |
L |
2.5426163185186 |
L(r)(E,1)/r! |
Ω |
2.23405982374 |
Real period |
R |
0.56905734830817 |
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 |
113712r1 42642n1 |
Quadratic twists by: -4 -3 |