Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
41454bv |
Isogeny class |
Conductor |
41454 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-1864026701134036992 = -1 · 220 · 38 · 78 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 2 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1049810,-418929199] |
[a1,a2,a3,a4,a6] |
Generators |
[1857:62575:1] |
Generators of the group modulo torsion |
j |
-1491899855559625/21733834752 |
j-invariant |
L |
9.6007556225252 |
L(r)(E,1)/r! |
Ω |
0.074510205724118 |
Real period |
R |
1.6106443958283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13818h1 5922m1 |
Quadratic twists by: -3 -7 |