Atkin-Lehner |
3- 7+ 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
71757g |
Isogeny class |
Conductor |
71757 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
64262884348627083 = 314 · 74 · 174 · 67 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 4 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-218286,-37256891] |
[a1,a2,a3,a4,a6] |
Generators |
[-245072020:-551640589:1092727] |
Generators of the group modulo torsion |
j |
1577883558864697057/88152104730627 |
j-invariant |
L |
9.7066510274586 |
L(r)(E,1)/r! |
Ω |
0.22164256460891 |
Real period |
R |
10.948541230515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992041 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23919a3 |
Quadratic twists by: -3 |