Atkin-Lehner |
2- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34496cz |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
2 |
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 |
[-61241508:1237888:531441] |
Generators of the group modulo torsion |
j |
551516475321/5632 |
j-invariant |
L |
7.2437406891038 |
L(r)(E,1)/r! |
Ω |
0.33756099297572 |
Real period |
R |
10.729528647915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34496by1 8624be1 34496cd1 |
Quadratic twists by: -4 8 -7 |