Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304ij |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
2.2367455984378E+22 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7336737,-2596692897] |
[a1,a2,a3,a4,a6] |
Generators |
[8514:743085:1] |
Generators of the group modulo torsion |
j |
1416134368422073/725251155408 |
j-invariant |
L |
10.218403976844 |
L(r)(E,1)/r! |
Ω |
0.096911326736088 |
Real period |
R |
5.2720380380908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999602232 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304by3 30576br3 2496u4 |
Quadratic twists by: -4 8 -7 |