Atkin-Lehner |
2+ 3- 7+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
22386h |
Isogeny class |
Conductor |
22386 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
988416 |
Modular degree for the optimal curve |
Δ |
3.5778394041658E+20 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 3 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3039954,-1826108840] |
[a1,a2,a3,a4,a6] |
Generators |
[-920313:610075:729] |
Generators of the group modulo torsion |
j |
3106880453184523246867609/357783940416575730876 |
j-invariant |
L |
4.2791770376911 |
L(r)(E,1)/r! |
Ω |
0.11519402015612 |
Real period |
R |
9.2868905692577 |
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 |
67158bk1 |
Quadratic twists by: -3 |