Atkin-Lehner |
3+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
74727a |
Isogeny class |
Conductor |
74727 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
62784 |
Modular degree for the optimal curve |
Δ |
-1861374843 = -1 · 33 · 194 · 232 |
Discriminant |
Eigenvalues |
1 3+ -4 3 4 1 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-609,-5996] |
[a1,a2,a3,a4,a6] |
Generators |
[164:1988:1] |
Generators of the group modulo torsion |
j |
-7105563/529 |
j-invariant |
L |
5.8668576084405 |
L(r)(E,1)/r! |
Ω |
0.47843979758831 |
Real period |
R |
3.0656195596152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000358 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74727b1 74727c1 |
Quadratic twists by: -3 -19 |