Atkin-Lehner |
2- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
74480cx |
Isogeny class |
Conductor |
74480 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-23136999165952000 = -1 · 215 · 53 · 77 · 193 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 3 -5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,24680,-7156332] |
[a1,a2,a3,a4,a6] |
Generators |
[1766:-74480:1] |
Generators of the group modulo torsion |
j |
3449795831/48013000 |
j-invariant |
L |
4.498945852762 |
L(r)(E,1)/r! |
Ω |
0.18613840475482 |
Real period |
R |
0.16784649884614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981333 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9310i2 10640k2 |
Quadratic twists by: -4 -7 |