Atkin-Lehner |
2+ 3+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25992a |
Isogeny class |
Conductor |
25992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
328320 |
Modular degree for the optimal curve |
Δ |
-342310370648067072 = -1 · 210 · 39 · 198 |
Discriminant |
Eigenvalues |
2+ 3+ 2 3 -6 -1 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-555579,-161858682] |
[a1,a2,a3,a4,a6] |
Generators |
[1530871361715:-22793520130344:1581167125] |
Generators of the group modulo torsion |
j |
-55404 |
j-invariant |
L |
6.5252537957947 |
L(r)(E,1)/r! |
Ω |
0.087340981002792 |
Real period |
R |
18.677526061867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51984a1 25992q1 25992s1 |
Quadratic twists by: -4 -3 -19 |