Atkin-Lehner |
2- 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
127200cd |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
15800625000000 = 26 · 32 · 510 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22158,-1247688] |
[a1,a2,a3,a4,a6] |
Generators |
[6564:74800:27] |
Generators of the group modulo torsion |
j |
1203192139456/15800625 |
j-invariant |
L |
4.7274244370874 |
L(r)(E,1)/r! |
Ω |
0.39161593802131 |
Real period |
R |
6.0357915806004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000156558 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127200di1 25440l1 |
Quadratic twists by: -4 5 |