Atkin-Lehner |
3- 5+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
8745i |
Isogeny class |
Conductor |
8745 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
14720 |
Modular degree for the optimal curve |
Δ |
-1160019064215 = -1 · 35 · 5 · 112 · 534 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2126,-35329] |
[a1,a2,a3,a4,a6] |
Generators |
[79:752:1] |
Generators of the group modulo torsion |
j |
1063425594903911/1160019064215 |
j-invariant |
L |
5.0651181298682 |
L(r)(E,1)/r! |
Ω |
0.4687043482194 |
Real period |
R |
2.1613275614406 |
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 |
26235j1 43725h1 96195t1 |
Quadratic twists by: -3 5 -11 |