Atkin-Lehner |
3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
88935ch |
Isogeny class |
Conductor |
88935 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
1596672 |
Modular degree for the optimal curve |
Δ |
-6279790281523345125 = -1 · 314 · 53 · 72 · 118 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 11- -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-895403,347617631] |
[a1,a2,a3,a4,a6] |
Generators |
[615:5137:1] |
Generators of the group modulo torsion |
j |
-7558595228569/597871125 |
j-invariant |
L |
9.2254631696327 |
L(r)(E,1)/r! |
Ω |
0.23362286065958 |
Real period |
R |
0.31340238514294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999987588 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88935b1 88935cj1 |
Quadratic twists by: -7 -11 |