Atkin-Lehner |
2- 3- 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
64050co |
Isogeny class |
Conductor |
64050 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
349440 |
Modular degree for the optimal curve |
Δ |
-2084876258062500 = -1 · 22 · 313 · 56 · 73 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 -4 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,31937,17117] |
[a1,a2,a3,a4,a6] |
Generators |
[38:1115:1] |
Generators of the group modulo torsion |
j |
230560651724759/133432080516 |
j-invariant |
L |
13.088991575741 |
L(r)(E,1)/r! |
Ω |
0.27762543656494 |
Real period |
R |
0.60443879485347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000381 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2562b1 |
Quadratic twists by: 5 |