Atkin-Lehner |
2- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
64372d |
Isogeny class |
Conductor |
64372 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
1647360 |
Modular degree for the optimal curve |
Δ |
228903035043071312 = 24 · 75 · 119 · 192 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 11+ -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7448276,-7824018631] |
[a1,a2,a3,a4,a6] |
Generators |
[3751:130438:1] |
Generators of the group modulo torsion |
j |
1211258525663232/6067327 |
j-invariant |
L |
3.6306532871111 |
L(r)(E,1)/r! |
Ω |
0.091387278623868 |
Real period |
R |
2.6485475452422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000349 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64372a1 |
Quadratic twists by: -11 |