Atkin-Lehner |
2- 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
35568cg |
Isogeny class |
Conductor |
35568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1806336 |
Modular degree for the optimal curve |
Δ |
3.5180050685153E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21263979,-37730341222] |
[a1,a2,a3,a4,a6] |
Generators |
[19387154533117007175:527711226324068859904:3420767838796875] |
Generators of the group modulo torsion |
j |
356098250438417935657/117817277939712 |
j-invariant |
L |
7.3247502803909 |
L(r)(E,1)/r! |
Ω |
0.070306753472079 |
Real period |
R |
26.045685224604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4446t1 11856y1 |
Quadratic twists by: -4 -3 |