Atkin-Lehner |
2- 3- 7+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
51282bh |
Isogeny class |
Conductor |
51282 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
26510974412076 = 22 · 38 · 72 · 11 · 374 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-931649,-345886747] |
[a1,a2,a3,a4,a6] |
Generators |
[40542:2808875:8] |
Generators of the group modulo torsion |
j |
122674052760960173257/36366220044 |
j-invariant |
L |
10.969043889736 |
L(r)(E,1)/r! |
Ω |
0.15366908958141 |
Real period |
R |
8.9226173588283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17094k4 |
Quadratic twists by: -3 |