Atkin-Lehner |
2- 3- 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
45450cn |
Isogeny class |
Conductor |
45450 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
19879830000 = 24 · 39 · 54 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -2 -2 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15305,-724903] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:40:1] |
Generators of the group modulo torsion |
j |
870140865625/43632 |
j-invariant |
L |
9.8714413103187 |
L(r)(E,1)/r! |
Ω |
0.42923462192501 |
Real period |
R |
0.95824063015165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15150q1 45450bb1 |
Quadratic twists by: -3 5 |