Atkin-Lehner |
2+ 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
64350bv |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
6193152 |
Modular degree for the optimal curve |
Δ |
-6.247750535189E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- 13- -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9781317,-16827996159] |
[a1,a2,a3,a4,a6] |
j |
-9085904860560159241/5484993611139900 |
j-invariant |
L |
1.3292606302741 |
L(r)(E,1)/r! |
Ω |
0.041539394782595 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21450ck1 12870bq1 |
Quadratic twists by: -3 5 |