Atkin-Lehner |
2+ 3+ 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
68880f |
Isogeny class |
Conductor |
68880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-9189553978080000 = -1 · 28 · 35 · 54 · 78 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 1 0 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,12735,4574637] |
[a1,a2,a3,a4,a6] |
j |
892167691418624/35896695226875 |
j-invariant |
L |
2.4856230980409 |
L(r)(E,1)/r! |
Ω |
0.31070288614284 |
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 |
34440y1 |
Quadratic twists by: -4 |