Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800fc |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
9075000000 = 26 · 3 · 58 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- -6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2408,46062] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:286:1] |
Generators of the group modulo torsion |
j |
1544804416/9075 |
j-invariant |
L |
3.723638783 |
L(r)(E,1)/r! |
Ω |
1.3064374292777 |
Real period |
R |
2.8502235924532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800ge1 26400q2 10560ce1 |
Quadratic twists by: -4 8 5 |