Atkin-Lehner |
2- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
15040bg |
Isogeny class |
Conductor |
15040 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
24064000000000 = 218 · 59 · 47 |
Discriminant |
Eigenvalues |
2- -1 5- -1 3 -3 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-227265,41776225] |
[a1,a2,a3,a4,a6] |
Generators |
[405:-4000:1] |
Generators of the group modulo torsion |
j |
4952031207028849/91796875 |
j-invariant |
L |
4.0488038994424 |
L(r)(E,1)/r! |
Ω |
0.61957169311374 |
Real period |
R |
0.18152342373696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15040p1 3760d1 75200cq1 |
Quadratic twists by: -4 8 5 |