Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440cr |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
2648687247360 = 220 · 38 · 5 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11163,-447158] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:72:1] |
Generators of the group modulo torsion |
j |
51520374361/887040 |
j-invariant |
L |
5.1109581383669 |
L(r)(E,1)/r! |
Ω |
0.46495180340561 |
Real period |
R |
2.7481117940195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6930bb1 18480cz1 |
Quadratic twists by: -4 -3 |