Atkin-Lehner |
3- 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
45675bd |
Isogeny class |
Conductor |
45675 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
11776 |
Modular degree for the optimal curve |
Δ |
-388465875 = -1 · 37 · 53 · 72 · 29 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ -1 -6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,60,931] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:3:8] [-5:22:1] |
Generators of the group modulo torsion |
j |
262144/4263 |
j-invariant |
L |
7.4970227971897 |
L(r)(E,1)/r! |
Ω |
1.2566414110728 |
Real period |
R |
0.372870033325 |
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 |
15225h1 45675bm1 |
Quadratic twists by: -3 5 |