Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
50400bc |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
893025000000 = 26 · 36 · 58 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2925,-40500] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:126:1] [-21:108:1] |
Generators of the group modulo torsion |
j |
3796416/1225 |
j-invariant |
L |
9.3329245136797 |
L(r)(E,1)/r! |
Ω |
0.66580881799042 |
Real period |
R |
3.5043560033676 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
50400du1 100800dx2 5600k1 10080cf1 |
Quadratic twists by: -4 8 -3 5 |