Atkin-Lehner |
2+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42050i |
Isogeny class |
Conductor |
42050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6890400 |
Modular degree for the optimal curve |
Δ |
-1.3462631465606E+22 |
Discriminant |
Eigenvalues |
2+ 3 5+ -4 1 -6 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5525633,2482390541] |
[a1,a2,a3,a4,a6] |
Generators |
[18890455208239960922031711:-4420125206142069953028949193:347157528695672950809] |
Generators of the group modulo torsion |
j |
2838375/2048 |
j-invariant |
L |
6.5307651453016 |
L(r)(E,1)/r! |
Ω |
0.079941279687292 |
Real period |
R |
40.847264209731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1682h1 42050bf1 |
Quadratic twists by: 5 29 |