Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
41382cg |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
1128960 |
Modular degree for the optimal curve |
Δ |
-2.7276954544188E+19 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 11- 0 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3567587,-2604893277] |
[a1,a2,a3,a4,a6] |
Generators |
[6977:555168:1] |
Generators of the group modulo torsion |
j |
-3888335020909249/21120891264 |
j-invariant |
L |
9.4046215293118 |
L(r)(E,1)/r! |
Ω |
0.054907904279438 |
Real period |
R |
1.0195233416766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13794e1 3762g1 |
Quadratic twists by: -3 -11 |