Atkin-Lehner |
2+ 3+ 31- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
10974d |
Isogeny class |
Conductor |
10974 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-4483275575427072 = -1 · 215 · 34 · 315 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 0 6 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10505,-3252411] |
[a1,a2,a3,a4,a6] |
j |
-128226112918809625/4483275575427072 |
j-invariant |
L |
1.8996392795331 |
L(r)(E,1)/r! |
Ω |
0.18996392795331 |
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 |
87792g1 32922l1 |
Quadratic twists by: -4 -3 |