Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
104400bz |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
204800 |
Modular degree for the optimal curve |
Δ |
10570500000000 = 28 · 36 · 59 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12375,-506250] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:136:1] |
Generators of the group modulo torsion |
j |
574992/29 |
j-invariant |
L |
6.3052123438237 |
L(r)(E,1)/r! |
Ω |
0.4540687120471 |
Real period |
R |
3.4715078249223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999938593 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52200ba1 11600m1 104400bw1 |
Quadratic twists by: -4 -3 5 |