Atkin-Lehner |
2+ 3+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3648c |
Isogeny class |
Conductor |
3648 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-2880121536 = -1 · 26 · 38 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -1 5 -4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-375,3933] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:81:1] |
Generators of the group modulo torsion |
j |
-91368216064/45001899 |
j-invariant |
L |
3.1910913156024 |
L(r)(E,1)/r! |
Ω |
1.3330083945559 |
Real period |
R |
1.1969509451835 |
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 |
3648p1 1824d1 10944r1 91200cr1 |
Quadratic twists by: -4 8 -3 5 |