Atkin-Lehner |
2- 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
95400bb |
Isogeny class |
Conductor |
95400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-46364400000000 = -1 · 210 · 37 · 58 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 6 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8925,44750] |
[a1,a2,a3,a4,a6] |
Generators |
[16580:284375:64] |
Generators of the group modulo torsion |
j |
6740636/3975 |
j-invariant |
L |
9.4673575803485 |
L(r)(E,1)/r! |
Ω |
0.3879031768865 |
Real period |
R |
6.1016241578565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000368 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31800h1 19080f1 |
Quadratic twists by: -3 5 |