Atkin-Lehner |
2+ 3- 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
65424f |
Isogeny class |
Conductor |
65424 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
-5834048594688 = -1 · 28 · 32 · 293 · 473 |
Discriminant |
Eigenvalues |
2+ 3- -2 3 -1 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2444,-125988] |
[a1,a2,a3,a4,a6] |
Generators |
[114:1044:1] |
Generators of the group modulo torsion |
j |
-6309065520592/22789252323 |
j-invariant |
L |
7.7578268618986 |
L(r)(E,1)/r! |
Ω |
0.31124875261837 |
Real period |
R |
2.0770704023743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997733 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32712e1 |
Quadratic twists by: -4 |