Atkin-Lehner |
2- 5+ 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17980a |
Isogeny class |
Conductor |
17980 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
1616402000 = 24 · 53 · 292 · 312 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 0 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-341,-1580] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:6:1] [-11:31:1] |
Generators of the group modulo torsion |
j |
274877906944/101025125 |
j-invariant |
L |
4.8453137351486 |
L(r)(E,1)/r! |
Ω |
1.1450065873488 |
Real period |
R |
1.4105635690031 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71920l1 89900b1 |
Quadratic twists by: -4 5 |