Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
91728dh |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16450560 |
Modular degree for the optimal curve |
Δ |
-1.2021808608604E+25 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ -1 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9984387,167259427202] |
[a1,a2,a3,a4,a6] |
Generators |
[-5103665282:200430722232:912673] |
Generators of the group modulo torsion |
j |
-6394640503489/698390001504 |
j-invariant |
L |
7.4895969382989 |
L(r)(E,1)/r! |
Ω |
0.058606248580808 |
Real period |
R |
15.974399320692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975414 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11466k1 30576bh1 91728fj1 |
Quadratic twists by: -4 -3 -7 |