Atkin-Lehner |
2+ 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
51120h |
Isogeny class |
Conductor |
51120 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
-80873437500000000 = -1 · 28 · 36 · 514 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-230967,44861526] |
[a1,a2,a3,a4,a6] |
Generators |
[-183:9000:1] |
Generators of the group modulo torsion |
j |
-7301397935194704/433349609375 |
j-invariant |
L |
7.7685322391186 |
L(r)(E,1)/r! |
Ω |
0.33762925397785 |
Real period |
R |
0.82175219326373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25560d2 5680c2 |
Quadratic twists by: -4 -3 |