Atkin-Lehner |
2- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
15050u |
Isogeny class |
Conductor |
15050 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-14206236800 = -1 · 27 · 52 · 74 · 432 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 3 -4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1463,-22899] |
[a1,a2,a3,a4,a6] |
Generators |
[79:562:1] |
Generators of the group modulo torsion |
j |
-13852725705625/568249472 |
j-invariant |
L |
6.2821576938543 |
L(r)(E,1)/r! |
Ω |
0.3850478878897 |
Real period |
R |
0.29134398841941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120400be1 15050k1 105350cd1 |
Quadratic twists by: -4 5 -7 |