Atkin-Lehner |
2- 3- 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
22338l |
Isogeny class |
Conductor |
22338 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
984301632 = 26 · 36 · 172 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 0 2 4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3980,97615] |
[a1,a2,a3,a4,a6] |
Generators |
[1:305:1] |
Generators of the group modulo torsion |
j |
9561875765625/1350208 |
j-invariant |
L |
8.6105360978658 |
L(r)(E,1)/r! |
Ω |
1.5089453814202 |
Real period |
R |
0.47552726802266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2482a1 |
Quadratic twists by: -3 |