Atkin-Lehner |
2- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
83300bk |
Isogeny class |
Conductor |
83300 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-57800953700000000 = -1 · 28 · 58 · 76 · 173 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 0 1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-230708,44269912] |
[a1,a2,a3,a4,a6] |
Generators |
[317:1700:1] |
Generators of the group modulo torsion |
j |
-115431760/4913 |
j-invariant |
L |
5.1436403898585 |
L(r)(E,1)/r! |
Ω |
0.34913765072521 |
Real period |
R |
1.6369348805683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004924 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83300j2 1700c2 |
Quadratic twists by: 5 -7 |