Atkin-Lehner |
2+ 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694a |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9.1826214467389E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 11+ 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-88415395,-284886282611] |
[a1,a2,a3,a4,a6] |
Generators |
[77820380115849645:6485727771928767316:5371327624697] |
Generators of the group modulo torsion |
j |
11897870153788410875/1429316843490432 |
j-invariant |
L |
4.0603925299787 |
L(r)(E,1)/r! |
Ω |
0.049621232185562 |
Real period |
R |
20.456931052074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000068522 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122694bq2 9438r2 |
Quadratic twists by: -11 13 |