Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490r |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-7492812964673400 = -1 · 23 · 38 · 52 · 7 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,31938,3551436] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:1047:1] |
Generators of the group modulo torsion |
j |
746389464911/1552332600 |
j-invariant |
L |
3.784638419446 |
L(r)(E,1)/r! |
Ω |
0.2890295270692 |
Real period |
R |
3.2735742069527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106470eq2 2730s2 |
Quadratic twists by: -3 13 |