Atkin-Lehner |
2- 3+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
126852c |
Isogeny class |
Conductor |
126852 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-1405805830704 = -1 · 24 · 32 · 11 · 316 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 11+ 2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2563,26730] |
[a1,a2,a3,a4,a6] |
Generators |
[14986:648675:8] |
Generators of the group modulo torsion |
j |
131072/99 |
j-invariant |
L |
5.4077193237308 |
L(r)(E,1)/r! |
Ω |
0.54604315604862 |
Real period |
R |
4.9517325526188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999664359 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
132a1 |
Quadratic twists by: -31 |