Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840ei |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
360448 |
Modular degree for the optimal curve |
Δ |
-134786362245120 = -1 · 217 · 314 · 5 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 0 5 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39468,-3069232] |
[a1,a2,a3,a4,a6] |
Generators |
[458:8656:1] |
Generators of the group modulo torsion |
j |
-71157653138/1410615 |
j-invariant |
L |
6.0151794759777 |
L(r)(E,1)/r! |
Ω |
0.16916015702128 |
Real period |
R |
4.4448849121449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000064068 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123840bv1 30960n1 41280ce1 |
Quadratic twists by: -4 8 -3 |