Atkin-Lehner |
2- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
112360f |
Isogeny class |
Conductor |
112360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-14382080 = -1 · 210 · 5 · 532 |
Discriminant |
Eigenvalues |
2- 3 5- -3 -6 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,53,-106] |
[a1,a2,a3,a4,a6] |
Generators |
[1065:6796:27] |
Generators of the group modulo torsion |
j |
5724/5 |
j-invariant |
L |
12.051736680229 |
L(r)(E,1)/r! |
Ω |
1.2239729874056 |
Real period |
R |
4.9232036673988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000006592 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112360a1 |
Quadratic twists by: 53 |