Atkin-Lehner |
3- 5- 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
74175t |
Isogeny class |
Conductor |
74175 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
5517924609375 = 33 · 58 · 233 · 43 |
Discriminant |
Eigenvalues |
1 3- 5- 2 0 -1 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-15326,720173] |
[a1,a2,a3,a4,a6] |
Generators |
[153:1324:1] |
Generators of the group modulo torsion |
j |
1019082645625/14125887 |
j-invariant |
L |
9.7103612241186 |
L(r)(E,1)/r! |
Ω |
0.76386506176444 |
Real period |
R |
4.2373807063188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992416 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74175n1 |
Quadratic twists by: 5 |