Atkin-Lehner |
2- 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
35360l |
Isogeny class |
Conductor |
35360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
13206606400 = 26 · 52 · 134 · 172 |
Discriminant |
Eigenvalues |
2- 0 5- 0 -4 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9577,360696] |
[a1,a2,a3,a4,a6] |
Generators |
[40:204:1] |
Generators of the group modulo torsion |
j |
1517861692281024/206353225 |
j-invariant |
L |
5.4316089475602 |
L(r)(E,1)/r! |
Ω |
1.2144281935495 |
Real period |
R |
2.2362824646245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35360k1 70720z2 |
Quadratic twists by: -4 8 |