Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304ev |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
-2.8521049019074E+19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -2 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2023373,1137884301] |
[a1,a2,a3,a4,a6] |
Generators |
[608508:3981887:729] |
Generators of the group modulo torsion |
j |
-7604375980288000/236743082667 |
j-invariant |
L |
6.4983067828958 |
L(r)(E,1)/r! |
Ω |
0.20914008945895 |
Real period |
R |
7.7678876007402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999261227 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304cs1 30576z1 17472cr1 |
Quadratic twists by: -4 8 -7 |