Atkin-Lehner |
2+ 7+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113344f |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
655360 |
Modular degree for the optimal curve |
Δ |
129918149853184 = 218 · 7 · 11 · 235 |
Discriminant |
Eigenvalues |
2+ 3 -3 7+ 11+ 1 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16204,-574096] |
[a1,a2,a3,a4,a6] |
Generators |
[-10626084:48594736:250047] |
Generators of the group modulo torsion |
j |
1794942305577/495598411 |
j-invariant |
L |
10.610371970332 |
L(r)(E,1)/r! |
Ω |
0.43195220988066 |
Real period |
R |
12.281881824524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999803391 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113344ep1 1771a1 |
Quadratic twists by: -4 8 |