Atkin-Lehner |
2- 3- 17- |
Signs for the Atkin-Lehner involutions |
Class |
55488ec |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-15150586457088 = -1 · 210 · 311 · 174 |
Discriminant |
Eigenvalues |
2- 3- 0 1 -6 -5 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3853,207395] |
[a1,a2,a3,a4,a6] |
Generators |
[11:408:1] [-58:489:1] |
Generators of the group modulo torsion |
j |
-73984000/177147 |
j-invariant |
L |
11.319684678726 |
L(r)(E,1)/r! |
Ω |
0.62002913549535 |
Real period |
R |
0.27661663638287 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55488r1 13872e1 55488cb1 |
Quadratic twists by: -4 8 17 |