Atkin-Lehner |
3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
88935ce |
Isogeny class |
Conductor |
88935 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
2304000 |
Modular degree for the optimal curve |
Δ |
-2.8548421141724E+20 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 11- 0 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-778675,854602711] |
[a1,a2,a3,a4,a6] |
Generators |
[10523:1076113:1] |
Generators of the group modulo torsion |
j |
-250523582464/1369738755 |
j-invariant |
L |
7.2238345347882 |
L(r)(E,1)/r! |
Ω |
0.14999954971847 |
Real period |
R |
0.60198801888042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999907945 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12705a1 8085y1 |
Quadratic twists by: -7 -11 |