Atkin-Lehner |
2+ 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
35490bt |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
3367140640914960 = 24 · 34 · 5 · 72 · 139 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-39043,1007918] |
[a1,a2,a3,a4,a6] |
j |
620650477/317520 |
j-invariant |
L |
3.1501610404123 |
L(r)(E,1)/r! |
Ω |
0.39377013005267 |
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 |
106470en1 35490dj1 |
Quadratic twists by: -3 13 |