Atkin-Lehner |
2+ 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550ey |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
9037440 |
Modular degree for the optimal curve |
Δ |
-248537382912000 = -1 · 218 · 35 · 53 · 74 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 1 13- -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-145842156,-677923222742] |
[a1,a2,a3,a4,a6] |
j |
-1143064566833321674543757/828112896 |
j-invariant |
L |
1.7377558116113 |
L(r)(E,1)/r! |
Ω |
0.021721949034613 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550ho1 95550ck1 |
Quadratic twists by: 5 -7 |