Atkin-Lehner |
2+ 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
14280i |
Isogeny class |
Conductor |
14280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-27417600 = -1 · 210 · 32 · 52 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 2 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,0,252] |
[a1,a2,a3,a4,a6] |
Generators |
[2:16:1] |
Generators of the group modulo torsion |
j |
-4/26775 |
j-invariant |
L |
4.279448479799 |
L(r)(E,1)/r! |
Ω |
1.6752722038884 |
Real period |
R |
1.2772397434477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28560bx1 114240de1 42840bl1 71400dn1 |
Quadratic twists by: -4 8 -3 5 |