Atkin-Lehner |
2+ 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
82800bz |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
22044672 |
Modular degree for the optimal curve |
Δ |
1.4429245848167E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 5 3 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-175728675,-877804010350] |
[a1,a2,a3,a4,a6] |
Generators |
[-399246315:413242370:59319] |
Generators of the group modulo torsion |
j |
1286305460227974664900/30926881533278943 |
j-invariant |
L |
7.1317881703567 |
L(r)(E,1)/r! |
Ω |
0.041526484315669 |
Real period |
R |
14.311726379417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997275 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41400y1 27600r1 82800bl1 |
Quadratic twists by: -4 -3 5 |