Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800dr |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-159720000 = -1 · 26 · 3 · 54 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 11+ 4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208,1238] |
[a1,a2,a3,a4,a6] |
Generators |
[13:30:1] |
Generators of the group modulo torsion |
j |
-25000000/3993 |
j-invariant |
L |
8.5808194265093 |
L(r)(E,1)/r! |
Ω |
1.7546779668588 |
Real period |
R |
1.6300843779638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000126 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52800bz1 26400n1 52800r1 |
Quadratic twists by: -4 8 5 |