Atkin-Lehner |
2- 3- 7+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
96642bu |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
602112 |
Modular degree for the optimal curve |
Δ |
-4747902397056 = -1 · 27 · 312 · 7 · 132 · 59 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -2 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-184109,-30360171] |
[a1,a2,a3,a4,a6] |
j |
-946714501733615497/6512897664 |
j-invariant |
L |
3.2267020521037 |
L(r)(E,1)/r! |
Ω |
0.11523935245647 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32214b1 |
Quadratic twists by: -3 |