Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
64980bl |
Isogeny class |
Conductor |
64980 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
3837004020000000 = 28 · 312 · 57 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -3 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1266312,-548469884] |
[a1,a2,a3,a4,a6] |
Generators |
[-648:50:1] |
Generators of the group modulo torsion |
j |
3333275297603584/56953125 |
j-invariant |
L |
7.5694235774721 |
L(r)(E,1)/r! |
Ω |
0.14231963435858 |
Real period |
R |
1.2663352579077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000632 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21660v1 64980z1 |
Quadratic twists by: -3 -19 |