Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610cm |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
397440 |
Modular degree for the optimal curve |
Δ |
-2854435413492450 = -1 · 2 · 36 · 52 · 238 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 -4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-107222,-13729129] |
[a1,a2,a3,a4,a6] |
Generators |
[2054114022046999932:-80250271104150524177:1314659727974592] |
Generators of the group modulo torsion |
j |
-2387929/50 |
j-invariant |
L |
7.8714408856462 |
L(r)(E,1)/r! |
Ω |
0.13175295911686 |
Real period |
R |
29.871970005108 |
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 |
5290a1 47610ca1 |
Quadratic twists by: -3 -23 |