Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42588g |
Isogeny class |
Conductor |
42588 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-537822587199695616 = -1 · 28 · 314 · 7 · 137 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ -6 13+ 8 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-555672,163289828] |
[a1,a2,a3,a4,a6] |
Generators |
[364:-3042:1] |
Generators of the group modulo torsion |
j |
-21064523776/597051 |
j-invariant |
L |
5.4843512379432 |
L(r)(E,1)/r! |
Ω |
0.29150099179056 |
Real period |
R |
0.78392403919565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14196a1 3276i1 |
Quadratic twists by: -3 13 |