Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400dn |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
178872385536000 = 224 · 38 · 53 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -2 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-569473,-165597217] |
[a1,a2,a3,a4,a6] |
Generators |
[9803:967680:1] |
Generators of the group modulo torsion |
j |
623295446073461/5458752 |
j-invariant |
L |
9.0377244994394 |
L(r)(E,1)/r! |
Ω |
0.17379266177165 |
Real period |
R |
3.2501820012496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995662 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400fs1 1950u1 62400by1 |
Quadratic twists by: -4 8 5 |