Atkin-Lehner |
2- 5- 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
108560s |
Isogeny class |
Conductor |
108560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-32025200 = -1 · 24 · 52 · 23 · 592 |
Discriminant |
Eigenvalues |
2- 1 5- -2 2 3 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,30,275] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:5:1] |
Generators of the group modulo torsion |
j |
180472064/2001575 |
j-invariant |
L |
9.2427141773361 |
L(r)(E,1)/r! |
Ω |
1.5327855649323 |
Real period |
R |
1.5075028010626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000050939 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27140d1 |
Quadratic twists by: -4 |