Atkin-Lehner |
2+ 5- 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
44840d |
Isogeny class |
Conductor |
44840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7936 |
Modular degree for the optimal curve |
Δ |
-27262720 = -1 · 28 · 5 · 192 · 59 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 -2 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,73,74] |
[a1,a2,a3,a4,a6] |
Generators |
[273:1160:27] |
Generators of the group modulo torsion |
j |
168055344/106495 |
j-invariant |
L |
5.6029623847945 |
L(r)(E,1)/r! |
Ω |
1.3105466626784 |
Real period |
R |
4.2752864467524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89680b1 |
Quadratic twists by: -4 |