Atkin-Lehner |
2+ 3+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
13632b |
Isogeny class |
Conductor |
13632 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
705578688 = 26 · 37 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 0 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2892,60822] |
[a1,a2,a3,a4,a6] |
Generators |
[5155:12496:125] |
Generators of the group modulo torsion |
j |
41810827822912/11024667 |
j-invariant |
L |
5.0245356333282 |
L(r)(E,1)/r! |
Ω |
1.5695651904835 |
Real period |
R |
6.4024554874085 |
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 |
13632j1 6816f2 40896ba1 |
Quadratic twists by: -4 8 -3 |