Atkin-Lehner |
2- 3+ 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
55536r |
Isogeny class |
Conductor |
55536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-663318429696 = -1 · 218 · 37 · 13 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 1 3 5 13+ 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2920,-71312] |
[a1,a2,a3,a4,a6] |
Generators |
[5196:68608:27] |
Generators of the group modulo torsion |
j |
-672451615081/161942976 |
j-invariant |
L |
6.649661027305 |
L(r)(E,1)/r! |
Ω |
0.3206413822167 |
Real period |
R |
5.1846559709192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999559 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6942e1 |
Quadratic twists by: -4 |