Atkin-Lehner |
2- 3+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
2820c |
Isogeny class |
Conductor |
2820 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
3024 |
Modular degree for the optimal curve |
Δ |
-685260000000 = -1 · 28 · 36 · 57 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 2 -5 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,955,37857] |
[a1,a2,a3,a4,a6] |
Generators |
[119:-1350:1] |
Generators of the group modulo torsion |
j |
375871176704/2676796875 |
j-invariant |
L |
2.8658005855555 |
L(r)(E,1)/r! |
Ω |
0.65939323695427 |
Real period |
R |
0.10347899167165 |
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 |
11280bc1 45120w1 8460h1 14100k1 |
Quadratic twists by: -4 8 -3 5 |