Atkin-Lehner |
2- 3- 7- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
51282bp |
Isogeny class |
Conductor |
51282 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
16788068134992 = 24 · 314 · 72 · 112 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3438230,2454723285] |
[a1,a2,a3,a4,a6] |
Generators |
[-205:56235:1] |
Generators of the group modulo torsion |
j |
6165961967297018265625/23028900048 |
j-invariant |
L |
9.8578762831223 |
L(r)(E,1)/r! |
Ω |
0.46431373946788 |
Real period |
R |
1.326941710579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17094d2 |
Quadratic twists by: -3 |