Atkin-Lehner |
2+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
15824b |
Isogeny class |
Conductor |
15824 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-1071474688 = -1 · 211 · 233 · 43 |
Discriminant |
Eigenvalues |
2+ 0 -2 -4 2 2 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-491,4474] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:60:1] [-15:92:1] |
Generators of the group modulo torsion |
j |
-6392021634/523181 |
j-invariant |
L |
5.7782850347618 |
L(r)(E,1)/r! |
Ω |
1.5212624008826 |
Real period |
R |
0.31652905680009 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7912a1 63296u1 |
Quadratic twists by: -4 8 |