Atkin-Lehner |
2+ 3- 7- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
51282s |
Isogeny class |
Conductor |
51282 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
100245101284644624 = 24 · 38 · 78 · 112 · 372 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1066248,423767920] |
[a1,a2,a3,a4,a6] |
Generators |
[-604:29408:1] |
Generators of the group modulo torsion |
j |
183895499824068235393/137510427002256 |
j-invariant |
L |
4.0145786886461 |
L(r)(E,1)/r! |
Ω |
0.33355452876699 |
Real period |
R |
0.75223433172575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999698 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17094u2 |
Quadratic twists by: -3 |