Atkin-Lehner |
2+ 23+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
122176k |
Isogeny class |
Conductor |
122176 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
445440 |
Modular degree for the optimal curve |
Δ |
-2133762560150528 = -1 · 210 · 232 · 835 |
Discriminant |
Eigenvalues |
2+ -1 0 -3 5 -4 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-49813,4838549] |
[a1,a2,a3,a4,a6] |
Generators |
[76:1219:1] [421:7636:1] |
Generators of the group modulo torsion |
j |
-13349363777536000/2083752500147 |
j-invariant |
L |
9.0940811932821 |
L(r)(E,1)/r! |
Ω |
0.44734734237495 |
Real period |
R |
1.0164452021622 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999957575 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122176bl1 7636b1 |
Quadratic twists by: -4 8 |