Atkin-Lehner |
2+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
106400z |
Isogeny class |
Conductor |
106400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
3325000000 = 26 · 58 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ -1 5- 7+ -5 1 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1958,-32588] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:2:1] |
Generators of the group modulo torsion |
j |
33223360/133 |
j-invariant |
L |
3.2507506333094 |
L(r)(E,1)/r! |
Ω |
0.71784797601869 |
Real period |
R |
2.2642333323926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010844 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106400cm1 106400ca1 |
Quadratic twists by: -4 5 |