Atkin-Lehner |
2+ 3+ 41+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
84624a |
Isogeny class |
Conductor |
84624 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
52480 |
Modular degree for the optimal curve |
Δ |
-37727410176 = -1 · 211 · 35 · 41 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 1 0 -2 5 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1720,29584] |
[a1,a2,a3,a4,a6] |
Generators |
[0:172:1] |
Generators of the group modulo torsion |
j |
-274935976562/18421587 |
j-invariant |
L |
5.8576315047991 |
L(r)(E,1)/r! |
Ω |
1.1351555016883 |
Real period |
R |
0.64502522968845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985154 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42312e1 |
Quadratic twists by: -4 |