Atkin-Lehner |
2- 3- 7+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
124236i |
Isogeny class |
Conductor |
124236 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1347840 |
Modular degree for the optimal curve |
Δ |
908788252361269392 = 24 · 319 · 73 · 173 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 2 -6 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-243921,-6808079] |
[a1,a2,a3,a4,a6] |
Generators |
[575:6561:1] |
Generators of the group modulo torsion |
j |
137601692785009408/77913944818353 |
j-invariant |
L |
4.3051454430461 |
L(r)(E,1)/r! |
Ω |
0.2317231061982 |
Real period |
R |
1.5482362973877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998967108 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41412i1 |
Quadratic twists by: -3 |