Atkin-Lehner |
2- 7+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89782v |
Isogeny class |
Conductor |
89782 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-33606262762556176 = -1 · 24 · 75 · 119 · 53 |
Discriminant |
Eigenvalues |
2- 0 -3 7+ 11- -1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15874,8857489] |
[a1,a2,a3,a4,a6] |
Generators |
[289:5179:1] |
Generators of the group modulo torsion |
j |
-249689960073/18969859216 |
j-invariant |
L |
5.8709235998059 |
L(r)(E,1)/r! |
Ω |
0.30376974092723 |
Real period |
R |
1.207930465804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009062 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8162d1 |
Quadratic twists by: -11 |