Atkin-Lehner |
2+ 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41382v |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3210240 |
Modular degree for the optimal curve |
Δ |
-1.6122564398922E+21 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 11- 7 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,392562,1929438792] |
[a1,a2,a3,a4,a6] |
Generators |
[2322:122760:1] |
Generators of the group modulo torsion |
j |
353829047/85266756 |
j-invariant |
L |
6.1877008756686 |
L(r)(E,1)/r! |
Ω |
0.11610627902392 |
Real period |
R |
6.661677697023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13794bk1 41382cr1 |
Quadratic twists by: -3 -11 |