Atkin-Lehner |
2+ 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41382h |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
532224 |
Modular degree for the optimal curve |
Δ |
-571418195956845336 = -1 · 23 · 313 · 119 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 1 0 11+ -4 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,45171,36169821] |
[a1,a2,a3,a4,a6] |
j |
5929741/332424 |
j-invariant |
L |
0.88546253876138 |
L(r)(E,1)/r! |
Ω |
0.22136563467346 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13794bg1 41382bp1 |
Quadratic twists by: -3 -11 |