Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40368bf |
Isogeny class |
Conductor |
40368 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-1.9779016189691E+19 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 -2 0 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13736,-213979212] |
[a1,a2,a3,a4,a6] |
Generators |
[628:5046:1] |
Generators of the group modulo torsion |
j |
-117649/8118144 |
j-invariant |
L |
6.2352536692635 |
L(r)(E,1)/r! |
Ω |
0.098914263804949 |
Real period |
R |
1.1256598516681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5046a1 121104bt1 1392k1 |
Quadratic twists by: -4 -3 29 |