Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
41454bu |
Isogeny class |
Conductor |
41454 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
13055025312 = 25 · 311 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 2 1 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1490,21809] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:163:1] |
Generators of the group modulo torsion |
j |
10234947625/365472 |
j-invariant |
L |
9.2811297648669 |
L(r)(E,1)/r! |
Ω |
1.2518398784049 |
Real period |
R |
0.3706995569071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13818g1 41454bm1 |
Quadratic twists by: -3 -7 |