Atkin-Lehner |
2+ 3+ 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
64050m |
Isogeny class |
Conductor |
64050 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1120000 |
Modular degree for the optimal curve |
Δ |
-1454949096644531250 = -1 · 2 · 32 · 59 · 72 · 615 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 2 1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-673200,-220659750] |
[a1,a2,a3,a4,a6] |
Generators |
[1389:38376:1] |
Generators of the group modulo torsion |
j |
-17275355888566229/744933937482 |
j-invariant |
L |
3.5798645787593 |
L(r)(E,1)/r! |
Ω |
0.083126458945597 |
Real period |
R |
1.0766321048364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000759 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64050cv1 |
Quadratic twists by: 5 |