Atkin-Lehner |
2+ 3+ 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
6042d |
Isogeny class |
Conductor |
6042 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
7920 |
Modular degree for the optimal curve |
Δ |
-8480357856 = -1 · 25 · 36 · 193 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ -2 1 -4 5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2841,57285] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:258:1] |
Generators of the group modulo torsion |
j |
-2537325859890457/8480357856 |
j-invariant |
L |
2.1917840213268 |
L(r)(E,1)/r! |
Ω |
1.3122199791653 |
Real period |
R |
0.27838117288854 |
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 |
48336bp1 18126n1 114798x1 |
Quadratic twists by: -4 -3 -19 |