Atkin-Lehner |
2- 3- 5+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
117300s |
Isogeny class |
Conductor |
117300 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1246312500000000 = -1 · 28 · 3 · 512 · 172 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8508,-1728012] |
[a1,a2,a3,a4,a6] |
Generators |
[14725440877042:-131102969682357:82086013736] |
Generators of the group modulo torsion |
j |
-17029316176/311578125 |
j-invariant |
L |
9.3235063216935 |
L(r)(E,1)/r! |
Ω |
0.20870263193113 |
Real period |
R |
22.336820150496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001387 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23460j2 |
Quadratic twists by: 5 |