Atkin-Lehner |
2- 3- 5- 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
127650ds |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-22977000 = -1 · 23 · 33 · 53 · 23 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -1 4 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-93,-423] |
[a1,a2,a3,a4,a6] |
Generators |
[12:9:1] |
Generators of the group modulo torsion |
j |
-712121957/183816 |
j-invariant |
L |
12.082059229223 |
L(r)(E,1)/r! |
Ω |
0.75838066541029 |
Real period |
R |
0.88507730268689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999848544 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127650t1 |
Quadratic twists by: 5 |