Atkin-Lehner |
3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
88935cj |
Isogeny class |
Conductor |
88935 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-3544777900125 = -1 · 314 · 53 · 72 · 112 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 11- 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7400,-261843] |
[a1,a2,a3,a4,a6] |
Generators |
[169:-1907:1] |
Generators of the group modulo torsion |
j |
-7558595228569/597871125 |
j-invariant |
L |
5.9327614348038 |
L(r)(E,1)/r! |
Ω |
0.25621011542815 |
Real period |
R |
0.55132961580675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009442 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88935c1 88935ch1 |
Quadratic twists by: -7 -11 |