Atkin-Lehner |
2- 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
81200bb |
Isogeny class |
Conductor |
81200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
8881250000 = 24 · 58 · 72 · 29 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 2 6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-533,-1562] |
[a1,a2,a3,a4,a6] |
j |
67108864/35525 |
j-invariant |
L |
2.1092539357296 |
L(r)(E,1)/r! |
Ω |
1.0546269701253 |
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 |
20300h1 16240o1 |
Quadratic twists by: -4 5 |