Atkin-Lehner |
2- 3- 7+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
35742m |
Isogeny class |
Conductor |
35742 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
259509223008 = 25 · 34 · 76 · 23 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-145173,21277953] |
[a1,a2,a3,a4,a6] |
Generators |
[134:1991:1] |
Generators of the group modulo torsion |
j |
338361899193582972625/259509223008 |
j-invariant |
L |
10.125822163295 |
L(r)(E,1)/r! |
Ω |
0.8170177129989 |
Real period |
R |
1.2393638475876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107226h2 |
Quadratic twists by: -3 |