Atkin-Lehner |
2- 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
51150cm |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-371636718750000 = -1 · 24 · 32 · 512 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,17412,-278208] |
[a1,a2,a3,a4,a6] |
Generators |
[1062:34344:1] |
Generators of the group modulo torsion |
j |
37363547401991/23784750000 |
j-invariant |
L |
12.951380960268 |
L(r)(E,1)/r! |
Ω |
0.30766154027955 |
Real period |
R |
2.6310123432439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230d2 |
Quadratic twists by: 5 |