Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800dd |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-2495625000000 = -1 · 26 · 3 · 510 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 11- -4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5208,-165162] |
[a1,a2,a3,a4,a6] |
Generators |
[151889:59195796:1] |
Generators of the group modulo torsion |
j |
-25000000/3993 |
j-invariant |
L |
8.6343547529734 |
L(r)(E,1)/r! |
Ω |
0.27854759132452 |
Real period |
R |
10.332590697658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000057 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52800r1 26400e1 52800bz1 |
Quadratic twists by: -4 8 5 |