Atkin-Lehner |
2- 3+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
124872z |
Isogeny class |
Conductor |
124872 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
1766649864423312 = 24 · 32 · 1111 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 11- -4 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-49408,-3695591] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:363:1] |
Generators of the group modulo torsion |
j |
470596000000/62326737 |
j-invariant |
L |
5.5005853356702 |
L(r)(E,1)/r! |
Ω |
0.32302264244442 |
Real period |
R |
2.1285602705285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054837 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11352d1 |
Quadratic twists by: -11 |