Atkin-Lehner |
2+ 3- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
64350be |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32440320 |
Modular degree for the optimal curve |
Δ |
3.3805968855634E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-393652917,-1100720189259] |
[a1,a2,a3,a4,a6] |
Generators |
[432245789537210707473:-484940395365575461089849:343632488369507] |
Generators of the group modulo torsion |
j |
592265697637387401314569/296787655248366796800 |
j-invariant |
L |
4.6247182454898 |
L(r)(E,1)/r! |
Ω |
0.035710886438712 |
Real period |
R |
32.376109267735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998707 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21450cq1 12870by1 |
Quadratic twists by: -3 5 |