Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950es |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3294720 |
Modular degree for the optimal curve |
Δ |
-4.6643884589531E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 0 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,524362,294518531] |
[a1,a2,a3,a4,a6] |
Generators |
[8119:730667:1] |
Generators of the group modulo torsion |
j |
4760177319425/13925171376 |
j-invariant |
L |
8.5895850408118 |
L(r)(E,1)/r! |
Ω |
0.14190399879128 |
Real period |
R |
7.5663697403853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000070853 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124950dw1 124950hx1 |
Quadratic twists by: 5 -7 |