Atkin-Lehner |
2- 3+ 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
93786bu |
Isogeny class |
Conductor |
93786 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
-3001152 = -1 · 26 · 3 · 72 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11+ 2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-22,83] |
[a1,a2,a3,a4,a6] |
Generators |
[1:-9:1] |
Generators of the group modulo torsion |
j |
-24100657/61248 |
j-invariant |
L |
11.529530111052 |
L(r)(E,1)/r! |
Ω |
2.2398944226915 |
Real period |
R |
0.85789237718729 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004739 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93786ck1 |
Quadratic twists by: -7 |