Atkin-Lehner |
2+ 5- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
44650j |
Isogeny class |
Conductor |
44650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-22325000000 = -1 · 26 · 58 · 19 · 47 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 -5 -5 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6201,187548] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:636:1] [27:186:1] |
Generators of the group modulo torsion |
j |
-67491361705/57152 |
j-invariant |
L |
8.0478984448699 |
L(r)(E,1)/r! |
Ω |
1.1972176278016 |
Real period |
R |
1.1203613915553 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44650u1 |
Quadratic twists by: 5 |