Atkin-Lehner |
2+ 7- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89782m |
Isogeny class |
Conductor |
89782 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1568000 |
Modular degree for the optimal curve |
Δ |
-106089492533862068 = -1 · 22 · 710 · 116 · 53 |
Discriminant |
Eigenvalues |
2+ 3 -2 7- 11- -1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9763,-15672871] |
[a1,a2,a3,a4,a6] |
Generators |
[13908:-297475:27] |
Generators of the group modulo torsion |
j |
-58095499617/59884752788 |
j-invariant |
L |
7.9500836112183 |
L(r)(E,1)/r! |
Ω |
0.15107205809791 |
Real period |
R |
1.3156111923582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999896484 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
742f1 |
Quadratic twists by: -11 |