Atkin-Lehner |
3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
88935bx |
Isogeny class |
Conductor |
88935 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-5814027362941875 = -1 · 37 · 54 · 74 · 116 |
Discriminant |
Eigenvalues |
2 3- 5- 7+ 11- 3 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-37550,-4627969] |
[a1,a2,a3,a4,a6] |
j |
-1376628736/1366875 |
j-invariant |
L |
9.2323802841558 |
L(r)(E,1)/r! |
Ω |
0.16486393616109 |
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 |
88935r1 735f1 |
Quadratic twists by: -7 -11 |