Atkin-Lehner |
2+ 5- 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
51350m |
Isogeny class |
Conductor |
51350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5951232 |
Modular degree for the optimal curve |
Δ |
8.0086952174547E+22 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 -6 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11861957,-7863421099] |
[a1,a2,a3,a4,a6] |
Generators |
[-25141515:621668144:9261] |
Generators of the group modulo torsion |
j |
1476667633374693852231069/640695617396376076288 |
j-invariant |
L |
3.7505163435624 |
L(r)(E,1)/r! |
Ω |
0.084630572346447 |
Real period |
R |
11.079082415345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000069 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51350ba1 |
Quadratic twists by: 5 |