Atkin-Lehner |
2+ 3- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
107328s |
Isogeny class |
Conductor |
107328 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
409599710208 = 210 · 32 · 13 · 434 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 -4 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7413,-246213] |
[a1,a2,a3,a4,a6] |
Generators |
[4743:326628:1] |
Generators of the group modulo torsion |
j |
44001181696000/399999717 |
j-invariant |
L |
9.0841854114357 |
L(r)(E,1)/r! |
Ω |
0.51479512908356 |
Real period |
R |
4.4115536944459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996775 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107328bl1 6708d1 |
Quadratic twists by: -4 8 |