Atkin-Lehner |
2- 3- 7+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
28014t |
Isogeny class |
Conductor |
28014 |
Conductor |
∏ cp |
252 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-10539818827776 = -1 · 214 · 39 · 72 · 23 · 29 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -5 -5 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3562,176036] |
[a1,a2,a3,a4,a6] |
Generators |
[104:914:1] [-68:358:1] |
Generators of the group modulo torsion |
j |
-4998193642364833/10539818827776 |
j-invariant |
L |
11.109798144093 |
L(r)(E,1)/r! |
Ω |
0.64155368715502 |
Real period |
R |
0.068718334029531 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84042q1 |
Quadratic twists by: -3 |