Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97104cg |
Isogeny class |
Conductor |
97104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-554658048 = -1 · 28 · 32 · 72 · 173 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 4 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28,-1144] |
[a1,a2,a3,a4,a6] |
Generators |
[1355:49896:1] |
Generators of the group modulo torsion |
j |
-2000/441 |
j-invariant |
L |
8.3373521072111 |
L(r)(E,1)/r! |
Ω |
0.73206406274196 |
Real period |
R |
5.6944142755396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009879 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24276e2 97104bu2 |
Quadratic twists by: -4 17 |