Atkin-Lehner |
2- 3- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
74562y |
Isogeny class |
Conductor |
74562 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
12753905258496 = 212 · 3 · 176 · 43 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -4 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6942,-142140] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:80:1] |
Generators of the group modulo torsion |
j |
1532808577/528384 |
j-invariant |
L |
12.411231237803 |
L(r)(E,1)/r! |
Ω |
0.53773099248064 |
Real period |
R |
3.8467906236716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985581 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
258d1 |
Quadratic twists by: 17 |