Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
35574u |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
2.046142037435E+21 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10482596,-12881562718] |
[a1,a2,a3,a4,a6] |
Generators |
[-22705267608878294794:80872265529561938949:13353717621468223] |
Generators of the group modulo torsion |
j |
459206250875/7375872 |
j-invariant |
L |
5.0479562548452 |
L(r)(E,1)/r! |
Ω |
0.083985674281051 |
Real period |
R |
30.052483938821 |
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 |
106722fv1 5082a1 35574cp1 |
Quadratic twists by: -3 -7 -11 |