Atkin-Lehner |
2- 3- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
36822bd |
Isogeny class |
Conductor |
36822 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
Δ |
-303393442663008 = -1 · 25 · 314 · 172 · 193 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 -4 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11474,961380] |
[a1,a2,a3,a4,a6] |
Generators |
[-122:802:1] [208:2650:1] |
Generators of the group modulo torsion |
j |
-24356215700803/44232897312 |
j-invariant |
L |
12.092014075394 |
L(r)(E,1)/r! |
Ω |
0.48714743234733 |
Real period |
R |
0.35460118795571 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110466f2 36822f2 |
Quadratic twists by: -3 -19 |