Atkin-Lehner |
2- 5- 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
75650bg |
Isogeny class |
Conductor |
75650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
151296 |
Modular degree for the optimal curve |
Δ |
-32151250 = -1 · 2 · 54 · 172 · 89 |
Discriminant |
Eigenvalues |
2- 2 5- 1 3 6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-38538,2895881] |
[a1,a2,a3,a4,a6] |
j |
-10127725371941425/51442 |
j-invariant |
L |
8.4619317461854 |
L(r)(E,1)/r! |
Ω |
1.4103219629265 |
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 |
75650c1 |
Quadratic twists by: 5 |