Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304ir |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
8515584 |
Modular degree for the optimal curve |
Δ |
-2.058524997851E+21 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 3 13- 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6215617,-6353484481] |
[a1,a2,a3,a4,a6] |
Generators |
[6533:481572:1] |
Generators of the group modulo torsion |
j |
-5020930768142/389191959 |
j-invariant |
L |
7.9608425197588 |
L(r)(E,1)/r! |
Ω |
0.047596063985331 |
Real period |
R |
1.2671092556522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999701623 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304ch1 30576g1 122304fp1 |
Quadratic twists by: -4 8 -7 |