Atkin-Lehner |
2- 3+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42900q |
Isogeny class |
Conductor |
42900 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
5389088562000 = 24 · 32 · 53 · 116 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4753,60202] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:325:1] [-59:363:1] |
Generators of the group modulo torsion |
j |
5938660917248/2694544281 |
j-invariant |
L |
7.773323183203 |
L(r)(E,1)/r! |
Ω |
0.68443038879874 |
Real period |
R |
0.31548225723413 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128700bi1 42900bt1 |
Quadratic twists by: -3 5 |