Atkin-Lehner |
2- 3+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
96432bq |
Isogeny class |
Conductor |
96432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-345677263110144 = -1 · 215 · 37 · 76 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -2 7 -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-211696,-37430336] |
[a1,a2,a3,a4,a6] |
j |
-2177286259681/717336 |
j-invariant |
L |
0.890272002131 |
L(r)(E,1)/r! |
Ω |
0.11128397801438 |
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 |
12054bm1 1968k1 |
Quadratic twists by: -4 -7 |