Atkin-Lehner |
2- 5+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
68900d |
Isogeny class |
Conductor |
68900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
2239250000 = 24 · 56 · 132 · 53 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-333,662] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:51:1] |
Generators of the group modulo torsion |
j |
16384000/8957 |
j-invariant |
L |
10.087309600041 |
L(r)(E,1)/r! |
Ω |
1.2710116035973 |
Real period |
R |
2.6454805951399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2756a1 |
Quadratic twists by: 5 |