Atkin-Lehner |
2- 3+ 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
55692f |
Isogeny class |
Conductor |
55692 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
2351590530451344 = 24 · 39 · 7 · 137 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ -6 13+ 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-69417,-6641703] |
[a1,a2,a3,a4,a6] |
Generators |
[-123:189:1] |
Generators of the group modulo torsion |
j |
117465399320832/7467073523 |
j-invariant |
L |
5.239030804593 |
L(r)(E,1)/r! |
Ω |
0.29529801975807 |
Real period |
R |
2.9569172237764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999521 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55692c1 |
Quadratic twists by: -3 |