Atkin-Lehner |
2+ 23+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
122176i |
Isogeny class |
Conductor |
122176 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-655398690271232 = -1 · 212 · 234 · 833 |
Discriminant |
Eigenvalues |
2+ -1 0 1 -5 -2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-264793,52548281] |
[a1,a2,a3,a4,a6] |
Generators |
[280:529:1] [287:332:1] |
Generators of the group modulo torsion |
j |
-501285225055672000/160009445867 |
j-invariant |
L |
9.480726696329 |
L(r)(E,1)/r! |
Ω |
0.50101317710153 |
Real period |
R |
1.5769257054495 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003634 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122176q1 61088d1 |
Quadratic twists by: -4 8 |