Atkin-Lehner |
2+ 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41382r |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1858560 |
Modular degree for the optimal curve |
Δ |
-3.5905841549579E+20 |
Discriminant |
Eigenvalues |
2+ 3- 2 3 11- 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1967301,1400189269] |
[a1,a2,a3,a4,a6] |
Generators |
[500:2381393:64] |
Generators of the group modulo torsion |
j |
-5388492278257/2297714688 |
j-invariant |
L |
6.0074172607735 |
L(r)(E,1)/r! |
Ω |
0.15930148955642 |
Real period |
R |
3.1425826993737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13794bb1 41382ck1 |
Quadratic twists by: -3 -11 |