Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200dm |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-224121093750000 = -1 · 24 · 33 · 515 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 3 4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1575,719875] |
[a1,a2,a3,a4,a6] |
Generators |
[-1770:15625:27] |
Generators of the group modulo torsion |
j |
64012032/33203125 |
j-invariant |
L |
6.8230533184456 |
L(r)(E,1)/r! |
Ω |
0.43537652740071 |
Real period |
R |
1.9589518753437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996885 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15300f1 61200da2 12240bh1 |
Quadratic twists by: -4 -3 5 |