Atkin-Lehner |
3+ 11- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
108537g |
Isogeny class |
Conductor |
108537 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
1589090217 = 3 · 116 · 13 · 23 |
Discriminant |
Eigenvalues |
1 3+ -2 0 11- 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2301,41496] |
[a1,a2,a3,a4,a6] |
Generators |
[948:1534:27] |
Generators of the group modulo torsion |
j |
761048497/897 |
j-invariant |
L |
3.9752071385093 |
L(r)(E,1)/r! |
Ω |
1.4975732362657 |
Real period |
R |
5.3088651437514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999902889 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
897c1 |
Quadratic twists by: -11 |