Atkin-Lehner |
2- 3- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
99450cp |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
19910051606250000 = 24 · 38 · 58 · 134 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-68630,1358997] |
[a1,a2,a3,a4,a6] |
j |
3138428376721/1747933200 |
j-invariant |
L |
2.6661026596343 |
L(r)(E,1)/r! |
Ω |
0.33326285662469 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33150a1 19890g1 |
Quadratic twists by: -3 5 |