Atkin-Lehner |
2- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
63536s |
Isogeny class |
Conductor |
63536 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3611520 |
Modular degree for the optimal curve |
Δ |
-5.6574222604591E+20 |
Discriminant |
Eigenvalues |
2- 0 -4 4 11+ -7 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1694173,767590690] |
[a1,a2,a3,a4,a6] |
Generators |
[-925862019:82368982:2248091] |
Generators of the group modulo torsion |
j |
21414159/22528 |
j-invariant |
L |
3.5457692955417 |
L(r)(E,1)/r! |
Ω |
0.10836757927635 |
Real period |
R |
16.359917416519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7942i1 63536l1 |
Quadratic twists by: -4 -19 |