Atkin-Lehner |
2+ 3- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
129456h |
Isogeny class |
Conductor |
129456 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6082560 |
Modular degree for the optimal curve |
Δ |
-5.2132032784289E+21 |
Discriminant |
Eigenvalues |
2+ 3- 1 -1 0 -6 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-450507,-3475794278] |
[a1,a2,a3,a4,a6] |
Generators |
[14344974:1015802761:2744] |
Generators of the group modulo torsion |
j |
-6772840714553618/3491782459938783 |
j-invariant |
L |
6.0172076728167 |
L(r)(E,1)/r! |
Ω |
0.06114957160951 |
Real period |
R |
12.300183631149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999912125 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64728k1 43152i1 |
Quadratic twists by: -4 -3 |