Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34496by |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
72343355392 = 227 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ -3 -4 7- 11- -1 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40012,3080560] |
[a1,a2,a3,a4,a6] |
Generators |
[142:512:1] |
Generators of the group modulo torsion |
j |
551516475321/5632 |
j-invariant |
L |
1.9984151325568 |
L(r)(E,1)/r! |
Ω |
0.98851523429957 |
Real period |
R |
0.50540827880414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34496cz1 1078e1 34496j1 |
Quadratic twists by: -4 8 -7 |