Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
93600fb |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
75816000 = 26 · 36 · 53 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 13- 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-165,700] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:36:1] |
Generators of the group modulo torsion |
j |
85184/13 |
j-invariant |
L |
6.1431045443534 |
L(r)(E,1)/r! |
Ω |
1.8550265817026 |
Real period |
R |
1.6557995971807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017692 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93600cj1 10400t1 93600bz1 |
Quadratic twists by: -4 -3 5 |