Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960bd |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
-1872101376000000 = -1 · 223 · 33 · 56 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -3 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13976,2181360] |
[a1,a2,a3,a4,a6] |
Generators |
[58:1250:1] |
Generators of the group modulo torsion |
j |
-139343861641/864000000 |
j-invariant |
L |
3.5183617547968 |
L(r)(E,1)/r! |
Ω |
0.4042463829712 |
Real period |
R |
2.1758770394496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000178624 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15870k1 126960bs1 |
Quadratic twists by: -4 -23 |