Atkin-Lehner |
2- 3+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
124656ch |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
270950400 |
Modular degree for the optimal curve |
Δ |
-8.4531871948113E+30 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -2 6 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3399840288,117240363912960] |
[a1,a2,a3,a4,a6] |
Generators |
[53492759982590063576864910634485388266690935230878928321844720312865028667060:58255196166059076625496246315564471808818647359356353425528490380137222250962575:45216788202664496123931531315764424509066251349960017337857819055624512] |
Generators of the group modulo torsion |
j |
9018848088673607981072303/17541725003894778494976 |
j-invariant |
L |
7.667034456506 |
L(r)(E,1)/r! |
Ω |
0.016032587673433 |
Real period |
R |
119.55391438793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15582v1 17808ba1 |
Quadratic twists by: -4 -7 |