Atkin-Lehner |
2+ 3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
42432bf |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
3997978897416192 = 234 · 34 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 2 13- 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-72833,6902751] |
[a1,a2,a3,a4,a6] |
j |
162995025390625/15251079168 |
j-invariant |
L |
3.4256023745113 |
L(r)(E,1)/r! |
Ω |
0.42820029681253 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432bv1 1326d1 127296w1 |
Quadratic twists by: -4 8 -3 |