Atkin-Lehner |
2- 3+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96558cd |
Isogeny class |
Conductor |
96558 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1081344 |
Modular degree for the optimal curve |
Δ |
-71532512058002688 = -1 · 28 · 34 · 7 · 1110 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- -5 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,102182,-2700697] |
[a1,a2,a3,a4,a6] |
j |
4549040375/2757888 |
j-invariant |
L |
3.2137857890925 |
L(r)(E,1)/r! |
Ω |
0.20086162020626 |
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 |
96558k1 |
Quadratic twists by: -11 |