Atkin-Lehner |
2- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
101920bt |
Isogeny class |
Conductor |
101920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
489419840 = 26 · 5 · 76 · 13 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 6 13- 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4230,104488] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:392:1] |
Generators of the group modulo torsion |
j |
1111934656/65 |
j-invariant |
L |
5.7480429623443 |
L(r)(E,1)/r! |
Ω |
1.5691719766996 |
Real period |
R |
1.8315529066858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999518375 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101920bs1 2080c1 |
Quadratic twists by: -4 -7 |