Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800fv |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-211200000000 = -1 · 214 · 3 · 58 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- -5 11- -4 -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1167,15537] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-200:1] [11:172:1] |
Generators of the group modulo torsion |
j |
27440/33 |
j-invariant |
L |
7.1866295371723 |
L(r)(E,1)/r! |
Ω |
0.66861289680973 |
Real period |
R |
0.89571379436769 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999957 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52800du1 13200cs1 52800hh1 |
Quadratic twists by: -4 8 5 |