Atkin-Lehner |
3- 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
53655m |
Isogeny class |
Conductor |
53655 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
35844480 |
Modular degree for the optimal curve |
Δ |
1.3057631265398E+27 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ 0 6 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1699444721,26908841917010] |
[a1,a2,a3,a4,a6] |
Generators |
[-47318:1175044:1] |
Generators of the group modulo torsion |
j |
94158714338567800388583424/226506192761860678125 |
j-invariant |
L |
6.5190495264239 |
L(r)(E,1)/r! |
Ω |
0.048417602517285 |
Real period |
R |
0.80144129843765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53655k1 |
Quadratic twists by: -7 |