Atkin-Lehner |
2- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
35828k |
Isogeny class |
Conductor |
35828 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6192 |
Modular degree for the optimal curve |
Δ |
2292992 = 28 · 132 · 53 |
Discriminant |
Eigenvalues |
2- -2 -2 1 -4 13+ 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-69,-233] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:1:1] |
Generators of the group modulo torsion |
j |
851968/53 |
j-invariant |
L |
2.7722279211635 |
L(r)(E,1)/r! |
Ω |
1.660936208354 |
Real period |
R |
1.6690754932179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35828j1 |
Quadratic twists by: 13 |