Atkin-Lehner |
2+ 3- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
44880s |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
137491572098073600 = 210 · 312 · 52 · 112 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-134760,6610500] |
[a1,a2,a3,a4,a6] |
j |
264307803243680164/134269113377025 |
j-invariant |
L |
3.472781957524 |
L(r)(E,1)/r! |
Ω |
0.28939849648246 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
22440t3 |
Quadratic twists by: -4 |