Atkin-Lehner |
2- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
64448l |
Isogeny class |
Conductor |
64448 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-527958016 = -1 · 219 · 19 · 53 |
Discriminant |
Eigenvalues |
2- 2 -2 1 -2 -3 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-769,-8031] |
[a1,a2,a3,a4,a6] |
Generators |
[1335:7264:27] |
Generators of the group modulo torsion |
j |
-192100033/2014 |
j-invariant |
L |
7.4672378212985 |
L(r)(E,1)/r! |
Ω |
0.45297008878992 |
Real period |
R |
4.12126429882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997933 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64448c1 16112f1 |
Quadratic twists by: -4 8 |