Atkin-Lehner |
2+ 3+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
41382f |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
228096 |
Modular degree for the optimal curve |
Δ |
-317582113992264 = -1 · 23 · 33 · 118 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 3 2 11- -1 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,13227,-629667] |
[a1,a2,a3,a4,a6] |
Generators |
[15705609:744491376:6859] |
Generators of the group modulo torsion |
j |
44216469/54872 |
j-invariant |
L |
5.7637535313684 |
L(r)(E,1)/r! |
Ω |
0.29099954597608 |
Real period |
R |
9.9033720345374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
41382bo2 41382bk1 |
Quadratic twists by: -3 -11 |