Atkin-Lehner |
2+ 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470bk |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
-938850756480 = -1 · 27 · 311 · 5 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -5 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-58590,-5444204] |
[a1,a2,a3,a4,a6] |
j |
-180544450042489/7620480 |
j-invariant |
L |
1.2274455134582 |
L(r)(E,1)/r! |
Ω |
0.15343068968329 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35490cq1 106470gf1 |
Quadratic twists by: -3 13 |