Atkin-Lehner |
2- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
81200bs |
Isogeny class |
Conductor |
81200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
222031250000 = 24 · 510 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -6 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1700,-14625] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:104:1] [185:2450:1] |
Generators of the group modulo torsion |
j |
2173353984/888125 |
j-invariant |
L |
10.093677373149 |
L(r)(E,1)/r! |
Ω |
0.77059682298788 |
Real period |
R |
6.5492596595366 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20300e1 16240l1 |
Quadratic twists by: -4 5 |