Atkin-Lehner |
2- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34496cf |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
71679617540292608 = 221 · 710 · 112 |
Discriminant |
Eigenvalues |
2- 0 2 7- 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16193324,-25081416752] |
[a1,a2,a3,a4,a6] |
Generators |
[14328930:4848353216:125] |
Generators of the group modulo torsion |
j |
15226621995131793/2324168 |
j-invariant |
L |
6.2274568177752 |
L(r)(E,1)/r! |
Ω |
0.075260232786478 |
Real period |
R |
10.343206144875 |
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 |
34496bd4 8624w3 4928bb4 |
Quadratic twists by: -4 8 -7 |