Atkin-Lehner |
3- 13- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
2847b |
Isogeny class |
Conductor |
2847 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
800 |
Modular degree for the optimal curve |
Δ |
728487513 = 310 · 132 · 73 |
Discriminant |
Eigenvalues |
-1 3- 0 -2 0 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-338,-2037] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:25:1] |
Generators of the group modulo torsion |
j |
4271241390625/728487513 |
j-invariant |
L |
2.4184305225235 |
L(r)(E,1)/r! |
Ω |
1.1263795897126 |
Real period |
R |
0.4294166095713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45552k1 8541d1 71175b1 37011e1 |
Quadratic twists by: -4 -3 5 13 |