Atkin-Lehner |
3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
88725m |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-42918223359375 = -1 · 36 · 57 · 73 · 133 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 6 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,8687,-43594] |
[a1,a2,a3,a4,a6] |
j |
2111932187/1250235 |
j-invariant |
L |
1.5035085632514 |
L(r)(E,1)/r! |
Ω |
0.37587712682875 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17745x1 88725x1 |
Quadratic twists by: 5 13 |