Atkin-Lehner |
2- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
36848i |
Isogeny class |
Conductor |
36848 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2128991363072 = 213 · 76 · 472 |
Discriminant |
Eigenvalues |
2- 0 0 7- -2 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7595,-244902] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:98:1] |
Generators of the group modulo torsion |
j |
100544625/4418 |
j-invariant |
L |
5.1516626118629 |
L(r)(E,1)/r! |
Ω |
0.51279744279711 |
Real period |
R |
1.2557742545874 |
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 |
4606j2 752a2 |
Quadratic twists by: -4 -7 |