Atkin-Lehner |
2- 23+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
104512h |
Isogeny class |
Conductor |
104512 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
649728 |
Modular degree for the optimal curve |
Δ |
-4315914174464 = -1 · 219 · 23 · 713 |
Discriminant |
Eigenvalues |
2- -3 -1 -2 -4 5 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-64588,6318736] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-2272:1] |
Generators of the group modulo torsion |
j |
-113668283030121/16463906 |
j-invariant |
L |
1.3013956477172 |
L(r)(E,1)/r! |
Ω |
0.75057824991154 |
Real period |
R |
0.14448811623401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999902105 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104512d1 26128c1 |
Quadratic twists by: -4 8 |