Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
50400x |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
382725000000 = 26 · 37 · 58 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 0 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5925,173000] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:250:1] [-5:450:1] |
Generators of the group modulo torsion |
j |
31554496/525 |
j-invariant |
L |
9.2694804279031 |
L(r)(E,1)/r! |
Ω |
0.95287404554741 |
Real period |
R |
2.4319794602491 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50400bh1 100800lj2 16800bd1 10080cc1 |
Quadratic twists by: -4 8 -3 5 |