Atkin-Lehner |
2- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34496cj |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
132986303414272 = 221 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 0 -4 7- 11+ 2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1471372,686960400] |
[a1,a2,a3,a4,a6] |
Generators |
[-672:37044:1] |
Generators of the group modulo torsion |
j |
11422548526761/4312 |
j-invariant |
L |
3.4995960170833 |
L(r)(E,1)/r! |
Ω |
0.47336684023865 |
Real period |
R |
3.6964946840367 |
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 |
34496bf2 8624x2 4928bc2 |
Quadratic twists by: -4 8 -7 |