Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490q |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-113568000 = -1 · 28 · 3 · 53 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -1 13+ 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-19152,1012224] |
[a1,a2,a3,a4,a6] |
Generators |
[80:-32:1] |
Generators of the group modulo torsion |
j |
-4597426954793569/672000 |
j-invariant |
L |
3.990632380748 |
L(r)(E,1)/r! |
Ω |
1.4627148802382 |
Real period |
R |
0.45470611243321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106470ep1 35490cb1 |
Quadratic twists by: -3 13 |