Atkin-Lehner |
2- 7- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
85162w |
Isogeny class |
Conductor |
85162 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-45802167488 = -1 · 26 · 77 · 11 · 79 |
Discriminant |
Eigenvalues |
2- -1 -2 7- 11+ 3 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5489,-159153] |
[a1,a2,a3,a4,a6] |
Generators |
[111:728:1] |
Generators of the group modulo torsion |
j |
-155460517633/389312 |
j-invariant |
L |
6.8302330490929 |
L(r)(E,1)/r! |
Ω |
0.27728775238896 |
Real period |
R |
2.0526910483428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004928 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12166m1 |
Quadratic twists by: -7 |