Atkin-Lehner |
2- 3+ 5+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
71910v |
Isogeny class |
Conductor |
71910 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
44659378438938000 = 24 · 39 · 53 · 176 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-180173,-27579419] |
[a1,a2,a3,a4,a6] |
Generators |
[82745:1452772:125] |
Generators of the group modulo torsion |
j |
32862400907974443/2268931486000 |
j-invariant |
L |
7.3147771482394 |
L(r)(E,1)/r! |
Ω |
0.23273444308337 |
Real period |
R |
7.8574286752371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001429 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71910a1 |
Quadratic twists by: -3 |