Atkin-Lehner |
2+ 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
15582l |
Isogeny class |
Conductor |
15582 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
1938650112 = 210 · 36 · 72 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -3 -5 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13767,620554] |
[a1,a2,a3,a4,a6] |
Generators |
[-121:780:1] [62:48:1] |
Generators of the group modulo torsion |
j |
5888439551422393/39564288 |
j-invariant |
L |
5.3970921617076 |
L(r)(E,1)/r! |
Ω |
1.3200633588238 |
Real period |
R |
0.34070916152312 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124656ct1 46746bf1 15582a1 |
Quadratic twists by: -4 -3 -7 |