Atkin-Lehner |
2+ 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490a |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-3868839430953369600 = -1 · 224 · 3 · 52 · 72 · 137 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-62533,94799437] |
[a1,a2,a3,a4,a6] |
Generators |
[-489:3202:1] |
Generators of the group modulo torsion |
j |
-5602762882081/801531494400 |
j-invariant |
L |
2.8204012391162 |
L(r)(E,1)/r! |
Ω |
0.20312438143485 |
Real period |
R |
1.7356368172011 |
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 |
106470fi1 2730x1 |
Quadratic twists by: -3 13 |