Atkin-Lehner |
2- 3+ 5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
52290bx |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
1248 |
Product of Tamagawa factors cp |
Δ |
8.0044547523972E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-147568097,-689942281679] |
[a1,a2,a3,a4,a6] |
Generators |
[-7009:2524:1] |
Generators of the group modulo torsion |
j |
18055513619978991389246187/40666843227136000 |
j-invariant |
L |
10.422249716135 |
L(r)(E,1)/r! |
Ω |
0.043316314114993 |
Real period |
R |
0.7711793398965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000037 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52290c2 |
Quadratic twists by: -3 |