Atkin-Lehner |
2+ 3- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
96558bm |
Isogeny class |
Conductor |
96558 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-279913724244 = -1 · 22 · 33 · 7 · 117 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 11- 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4722,127048] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:363:1] |
Generators of the group modulo torsion |
j |
-6570725617/158004 |
j-invariant |
L |
8.3409663676887 |
L(r)(E,1)/r! |
Ω |
0.97512314237232 |
Real period |
R |
0.71281307915045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014033 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8778t1 |
Quadratic twists by: -11 |