Atkin-Lehner |
2- 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
61248ci |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
16369385472 = 216 · 33 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 3- -4 0 11- -4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-705,3519] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:60:1] [-9:96:1] |
Generators of the group modulo torsion |
j |
592143556/249777 |
j-invariant |
L |
9.4856518197316 |
L(r)(E,1)/r! |
Ω |
1.1180461657478 |
Real period |
R |
1.4140220845875 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61248d1 15312d1 |
Quadratic twists by: -4 8 |