Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
121296n |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
901022712912 = 24 · 32 · 7 · 197 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15643,756910] |
[a1,a2,a3,a4,a6] |
Generators |
[9730:8694:125] |
Generators of the group modulo torsion |
j |
562432000/1197 |
j-invariant |
L |
6.0983692060928 |
L(r)(E,1)/r! |
Ω |
0.88734034560111 |
Real period |
R |
6.872638200367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000082297 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60648m1 6384j1 |
Quadratic twists by: -4 -19 |