Atkin-Lehner |
2- 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
25992s |
Isogeny class |
Conductor |
25992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-7276096512 = -1 · 210 · 39 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 2 3 -6 1 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1539,23598] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:216:1] |
Generators of the group modulo torsion |
j |
-55404 |
j-invariant |
L |
6.7050418217184 |
L(r)(E,1)/r! |
Ω |
1.3252290451971 |
Real period |
R |
1.2648835772991 |
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 |
51984e1 25992c1 25992a1 |
Quadratic twists by: -4 -3 -19 |