Atkin-Lehner |
2- 3- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
72504bc |
Isogeny class |
Conductor |
72504 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-1233011144448 = -1 · 28 · 314 · 19 · 53 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2049,39746] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:126:1] |
Generators of the group modulo torsion |
j |
5097791792/6606927 |
j-invariant |
L |
4.7418303887638 |
L(r)(E,1)/r! |
Ω |
0.58034969394808 |
Real period |
R |
2.0426608472035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972728 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24168d1 |
Quadratic twists by: -3 |