Atkin-Lehner |
5- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
21805h |
Isogeny class |
Conductor |
21805 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
245510714462890625 = 510 · 710 · 89 |
Discriminant |
Eigenvalues |
1 0 5- 7- 0 4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-167099,-11044832] |
[a1,a2,a3,a4,a6] |
j |
4385897588651769/2086806640625 |
j-invariant |
L |
1.237271737178 |
L(r)(E,1)/r! |
Ω |
0.2474543474356 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109025l1 3115b1 |
Quadratic twists by: 5 -7 |