Atkin-Lehner |
2+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10478a |
Isogeny class |
Conductor |
10478 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
169344 |
Modular degree for the optimal curve |
Δ |
-8093506815012110336 = -1 · 227 · 137 · 312 |
Discriminant |
Eigenvalues |
2+ 1 -3 1 0 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,424355,86139640] |
[a1,a2,a3,a4,a6] |
Generators |
[218:13639:1] |
Generators of the group modulo torsion |
j |
1750866528803183/1676782075904 |
j-invariant |
L |
3.097337732577 |
L(r)(E,1)/r! |
Ω |
0.15311246335146 |
Real period |
R |
5.0572919812987 |
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 |
83824ba1 94302ca1 806e1 |
Quadratic twists by: -4 -3 13 |