Atkin-Lehner |
5- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
100555q |
Isogeny class |
Conductor |
100555 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1376256 |
Modular degree for the optimal curve |
Δ |
71772577318885625 = 54 · 72 · 1310 · 17 |
Discriminant |
Eigenvalues |
1 0 5- 7- 4 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1842554,963046735] |
[a1,a2,a3,a4,a6] |
j |
143325809988740289/14869570625 |
j-invariant |
L |
2.6532411775568 |
L(r)(E,1)/r! |
Ω |
0.33165517081473 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7735c1 |
Quadratic twists by: 13 |